17:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.096359:0.667082:0.110585:0.667082:0.110585:0.650182:0.096359:0.650182:0.000000:0.000000
  Dadas las funciones  ( ) = 2  + 3,  ( ) =   – 5, hallar: (  +  )( ) , (  –  )( ), (  •  )( ) :@0.110585:0.667082:0.716431:0.667082:0.716431:0.650693:0.110585:0.650693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.276526:0.667082:0.293572:0.667082:0.293572:0.650721:0.276526:0.650721:0.000000:0.000000:0.000000
x:@0.328381:0.667082:0.335845:0.667082:0.335845:0.650721:0.328381:0.650721:0.000000
g x:@0.373953:0.667082:0.395569:0.667082:0.395569:0.650721:0.373953:0.650721:0.000000:0.000000:0.000000
x:@0.421386:0.667082:0.428849:0.667082:0.428849:0.650721:0.421386:0.650721:0.000000
f:@0.518444:0.667082:0.523143:0.667082:0.523143:0.650721:0.518444:0.650721:0.000000
g x:@0.544077:0.667082:0.570576:0.667082:0.570576:0.650721:0.544077:0.650721:0.000000:0.000000:0.000000
f:@0.593500:0.667082:0.598199:0.667082:0.598199:0.650721:0.593500:0.650721:0.000000
g x f g x:@0.617364:0.667082:0.707512:0.667082:0.707512:0.650721:0.617364:0.650721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y ( / )( ).:@0.124848:0.683679:0.187631:0.683679:0.187631:0.667290:0.124848:0.667290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g x:@0.141875:0.683679:0.179541:0.683679:0.179541:0.667318:0.141875:0.667318:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.102121:0.329430:0.157756:0.329430:0.157756:0.313853:0.102121:0.313853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respondemos al literal a) :@0.157756:0.329430:0.328158:0.329430:0.328158:0.314531:0.157756:0.314531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos las funciones costo e :@0.102121:0.351647:0.348125:0.351647:0.348125:0.336748:0.102121:0.336748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingreso::@0.102121:0.366735:0.154540:0.366735:0.154540:0.351836:0.102121:0.351836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C x:@0.102121:0.388951:0.122358:0.388951:0.122358:0.374077:0.102121:0.374077:0.000000:0.000000:0.000000
( ) = 100 + 5 ;  ( ) = 10 , donde   es el :@0.111134:0.388951:0.365452:0.388951:0.365452:0.374052:0.111134:0.374052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x I x:@0.194142:0.388951:0.222219:0.388951:0.222219:0.374077:0.194142:0.374077:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.260331:0.388951:0.267116:0.388951:0.267116:0.374077:0.260331:0.374077:0.000000
x:@0.321611:0.388951:0.328396:0.388951:0.328396:0.374077:0.321611:0.374077:0.000000
número de camisetas por producir. :@0.102121:0.404039:0.338896:0.404039:0.338896:0.389140:0.102121:0.389140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 4.:@0.403597:0.329430:0.455848:0.329430:0.455848:0.313853:0.403597:0.313853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.455848:0.329430:0.459232:0.329430:0.459232:0.313853:0.455848:0.313853:0.000000
Respondemos al literal c):@0.459232:0.329430:0.625831:0.329430:0.625831:0.314531:0.459232:0.314531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Puesto que se ofrecerá un 20 % de :@0.403597:0.351647:0.636923:0.351647:0.636923:0.336748:0.403597:0.336748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
descuento en cualquier compra, la función :@0.403597:0.366735:0.692826:0.366735:0.692826:0.351836:0.403597:0.351836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
descuento para un número   de camisetas :@0.403597:0.381822:0.690613:0.381822:0.690613:0.366923:0.403597:0.366923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.589881:0.381822:0.596665:0.381822:0.596665:0.366948:0.589881:0.366948:0.000000
es::@0.403597:0.396910:0.420886:0.396910:0.420886:0.382011:0.403597:0.382011:0.000000:0.000000:0.000000
g x:@0.403597:0.419126:0.423248:0.419126:0.423248:0.404252:0.403597:0.404252:0.000000:0.000000:0.000000
( ) =   – 0,2 ,  ( ) = 0,8 . Mientras que la :@0.412024:0.419126:0.680330:0.419126:0.680330:0.404227:0.412024:0.404227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.445009:0.419126:0.451794:0.419126:0.451794:0.404252:0.445009:0.404252:0.000000
x g x:@0.486773:0.419126:0.519792:0.419126:0.519792:0.404252:0.486773:0.404252:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.560819:0.419126:0.567603:0.419126:0.567603:0.404252:0.560819:0.404252:0.000000
función impuesto es:  ( ) =   + 0,1 , es decir, :@0.403597:0.434214:0.697766:0.434214:0.697766:0.419315:0.403597:0.419315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.546745:0.434214:0.562241:0.434214:0.562241:0.419340:0.546745:0.419340:0.000000:0.000000:0.000000
x:@0.584002:0.434214:0.590787:0.434214:0.590787:0.419340:0.584002:0.419340:0.000000
x:@0.627374:0.434214:0.634159:0.434214:0.634159:0.419340:0.627374:0.419340:0.000000
f x:@0.403597:0.449302:0.419093:0.449302:0.419093:0.434428:0.403597:0.434428:0.000000:0.000000:0.000000
( ) = 1,1 .:@0.407869:0.449302:0.469820:0.449302:0.469820:0.434403:0.407869:0.434403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.460120:0.449302:0.466905:0.449302:0.466905:0.434428:0.460120:0.434428:0.000000
Paso 2.:@0.102121:0.425073:0.154372:0.425073:0.154372:0.409495:0.102121:0.409495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Hallamos la función utilidad, que :@0.154372:0.425073:0.379705:0.425073:0.379705:0.410174:0.154372:0.410174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se expresa como la resta de las funciones::@0.102121:0.440161:0.378618:0.440161:0.378618:0.425262:0.102121:0.425262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U x:@0.102121:0.462377:0.123397:0.462377:0.123397:0.447504:0.102121:0.447504:0.000000:0.000000:0.000000
( ) =  ( ) –  ( ) :@0.112173:0.462377:0.208365:0.462377:0.208365:0.447478:0.112173:0.447478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I x:@0.145158:0.462377:0.159867:0.462377:0.159867:0.447504:0.145158:0.447504:0.000000:0.000000:0.000000
C x:@0.180020:0.462377:0.200257:0.462377:0.200257:0.447504:0.180020:0.447504:0.000000:0.000000:0.000000
U x:@0.102121:0.484594:0.123397:0.484594:0.123397:0.469720:0.102121:0.469720:0.000000:0.000000:0.000000
( ) = 10  – (100 + 5 );  ( ) = 5 – 100:@0.112173:0.484594:0.350844:0.484594:0.350844:0.469695:0.112173:0.469695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.161509:0.484594:0.168293:0.484594:0.168293:0.469720:0.161509:0.469720:0.000000
x U x:@0.238469:0.484594:0.277552:0.484594:0.277552:0.469720:0.238469:0.469720:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.307489:0.484594:0.314274:0.484594:0.314274:0.469720:0.307489:0.469720:0.000000
Paso 3.:@0.102121:0.505440:0.154372:0.505440:0.154372:0.489862:0.102121:0.489862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Para identificar el número de :@0.154372:0.505440:0.353270:0.505440:0.353270:0.490541:0.154372:0.490541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
camisetas que se deben producir al mes :@0.102121:0.520528:0.373658:0.520528:0.373658:0.505629:0.102121:0.505629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para obtener una utilidad de 200 dólares, :@0.102121:0.535615:0.379352:0.535615:0.379352:0.520716:0.102121:0.520716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolvemos la ecuación::@0.102121:0.550703:0.260549:0.550703:0.260549:0.535804:0.102121:0.535804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
200 = 5  – 100:@0.102121:0.572919:0.199168:0.572919:0.199168:0.558020:0.102121:0.558020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.152144:0.572919:0.158929:0.572919:0.158929:0.558046:0.152144:0.558046:0.000000
x:@0.102121:0.595136:0.108906:0.595136:0.108906:0.580262:0.102121:0.580262:0.000000
 = 60:@0.108906:0.595136:0.142578:0.595136:0.142578:0.580237:0.108906:0.580237:0.000000:0.000000:0.000000:0.000000:0.000000
Se deben confeccionar 60 camisetas para :@0.102121:0.617352:0.381667:0.617352:0.381667:0.602453:0.102121:0.602453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtener una utilidad de 200 dólares.:@0.102121:0.632440:0.342615:0.632440:0.342615:0.617541:0.102121:0.617541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 5.:@0.403597:0.505440:0.455848:0.505440:0.455848:0.489862:0.403597:0.489862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Para el literal d), la función :@0.455848:0.505440:0.636370:0.505440:0.636370:0.490541:0.455848:0.490541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compuesta que realiza el cálculo del :@0.403597:0.520528:0.648935:0.520528:0.648935:0.505629:0.403597:0.505629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
impuesto de la venta con descuento es::@0.403597:0.535615:0.668666:0.535615:0.668666:0.520716:0.403597:0.520716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  :@0.403597:0.557832:0.415977:0.557832:0.415977:0.542933:0.403597:0.542933:0.000000:0.000000:0.000000
f g x:@0.408037:0.557832:0.449834:0.557832:0.449834:0.542958:0.408037:0.542958:0.000000:0.000000:0.000000:0.000000:0.000000
∘ :@0.415977:0.558360:0.425744:0.558360:0.425744:0.542354:0.415977:0.542354:0.000000:0.000000
)( ) =  [ ( )] =  (0,8 ):@0.434171:0.557832:0.565359:0.557832:0.565359:0.542933:0.434171:0.542933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g x:@0.471595:0.557832:0.499957:0.557832:0.499957:0.542958:0.471595:0.542958:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.526158:0.557832:0.530430:0.557832:0.530430:0.542958:0.526158:0.542958:0.000000
x:@0.554134:0.557832:0.560919:0.557832:0.560919:0.542958:0.554134:0.542958:0.000000
Es decir en  ( ), sustituimos a   por 0,8:@0.403597:0.580048:0.653392:0.580048:0.653392:0.565149:0.403597:0.565149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.478916:0.580048:0.494412:0.580048:0.494412:0.565174:0.478916:0.565174:0.000000:0.000000:0.000000
x:@0.596903:0.580048:0.603688:0.580048:0.603688:0.565174:0.596903:0.565174:0.000000
x:@0.653392:0.580048:0.660177:0.580048:0.660177:0.565174:0.653392:0.565174:0.000000
f:@0.403597:0.602265:0.407869:0.602265:0.407869:0.587391:0.403597:0.587391:0.000000
(0,8 ) = 1,1(0,8 ) :@0.407869:0.602265:0.517983:0.602265:0.517983:0.587366:0.407869:0.587366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.431574:0.602265:0.438359:0.602265:0.438359:0.587391:0.431574:0.587391:0.000000
x:@0.503090:0.602265:0.509875:0.602265:0.509875:0.587391:0.503090:0.587391:0.000000
El valor a pagar por x camisetas, incluido el :@0.403597:0.624481:0.690948:0.624481:0.690948:0.609582:0.403597:0.609582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
descuento e impuesto, es de 8,8 .:@0.403597:0.639569:0.627925:0.639569:0.627925:0.624670:0.403597:0.624670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.618226:0.639569:0.625010:0.639569:0.625010:0.624695:0.618226:0.624695:0.000000
Paso 1.:@0.102121:0.714188:0.154372:0.714188:0.154372:0.698610:0.102121:0.698610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Determinamos la suma y resta de funciones con la suma algebraica de los valores :@0.154372:0.714188:0.703539:0.714188:0.703539:0.699289:0.154372:0.699289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las funciones.:@0.102121:0.729276:0.212334:0.729276:0.212334:0.714377:0.102121:0.714377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  )( ) =  ( ) +  ( ) = 2  + 3 +   – 5 = 3  – 2; Dominio  .:@0.102121:0.751493:0.481025:0.751493:0.481025:0.736594:0.102121:0.736594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.106561:0.751493:0.110833:0.751493:0.110833:0.736619:0.106561:0.736619:0.000000
g x:@0.128154:0.751493:0.152244:0.751493:0.152244:0.736619:0.128154:0.736619:0.000000:0.000000:0.000000
f x:@0.174006:0.751493:0.189502:0.751493:0.189502:0.736619:0.174006:0.736619:0.000000:0.000000:0.000000
g x:@0.211263:0.751493:0.230914:0.751493:0.230914:0.736619:0.211263:0.736619:0.000000:0.000000:0.000000
x:@0.260850:0.751493:0.267635:0.751493:0.267635:0.736619:0.260850:0.736619:0.000000
x:@0.310454:0.751493:0.317239:0.751493:0.317239:0.736619:0.310454:0.736619:0.000000
x:@0.366625:0.751493:0.373410:0.751493:0.373410:0.736619:0.366625:0.736619:0.000000
ℝ:@0.466015:0.752021:0.478110:0.752021:0.478110:0.736015:0.466015:0.736015:0.000000
(f –  )( ) =  ( ) –  ( ) = 2  + 3 – (  – 5) =   + 8; Dominio  .:@0.102121:0.773709:0.478630:0.773709:0.478630:0.758810:0.102121:0.758810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.126664:0.773709:0.150753:0.773709:0.150753:0.758835:0.126664:0.758835:0.000000:0.000000:0.000000
f x:@0.172515:0.773709:0.188011:0.773709:0.188011:0.758835:0.172515:0.758835:0.000000:0.000000:0.000000
g x:@0.208164:0.773709:0.227815:0.773709:0.227815:0.758835:0.208164:0.758835:0.000000:0.000000:0.000000
x:@0.257751:0.773709:0.264536:0.773709:0.264536:0.758835:0.257751:0.758835:0.000000
x:@0.310186:0.773709:0.316971:0.773709:0.316971:0.758835:0.310186:0.758835:0.000000
x:@0.362621:0.773709:0.369406:0.773709:0.369406:0.758835:0.362621:0.758835:0.000000
ℝ:@0.463620:0.774237:0.475715:0.774237:0.475715:0.758232:0.463620:0.758232:0.000000
Paso 2.:@0.102121:0.800615:0.154372:0.800615:0.154372:0.785037:0.102121:0.785037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Multiplicamos las funciones, mediante el producto de los valores de cada función.:@0.154372:0.800615:0.702804:0.800615:0.702804:0.785716:0.154372:0.785716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  •  )( ) =  ( ) •  ( ) = (2  + 3)(   – 5) = 2  – 7  – 15; Dominio  .:@0.102121:0.822832:0.517048:0.822824:0.517048:0.807925:0.102121:0.807933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g x:@0.106561:0.822832:0.146398:0.822832:0.146398:0.807958:0.106561:0.807958:0.000000:0.000000:0.000000:0.000000:0.000000
f x g x:@0.168159:0.822832:0.219221:0.822832:0.219221:0.807958:0.168159:0.807958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.253596:0.822832:0.260381:0.822832:0.260381:0.807958:0.253596:0.807958:0.000000
x:@0.298426:0.822832:0.305211:0.822832:0.305211:0.807958:0.298426:0.807958:0.000000
x:@0.359036:0.822832:0.365821:0.822832:0.365821:0.807958:0.359036:0.807958:0.000000
2:@0.365818:0.817327:0.370584:0.817327:0.370584:0.808641:0.365818:0.808641:0.000000
x:@0.394473:0.822824:0.401258:0.822824:0.401258:0.807950:0.394473:0.807950:0.000000
ℝ:@0.502038:0.823352:0.514134:0.823352:0.514134:0.807347:0.502038:0.807347:0.000000
Paso 3.:@0.102127:0.848712:0.154378:0.848712:0.154378:0.833134:0.102127:0.833134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Para la división, hallamos el cociente de las dos funciones dadas.:@0.154378:0.848712:0.584537:0.848712:0.584537:0.833813:0.154378:0.833813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.114984:0.873069:0.119213:0.873069:0.119213:0.858343:0.114984:0.858343:0.000000
g:@0.114602:0.890719:0.122945:0.890719:0.122945:0.875994:0.114602:0.875994:0.000000
x:@0.139579:0.880960:0.146296:0.880960:0.146296:0.866235:0.139579:0.866235:0.000000
fx:@0.169216:0.873069:0.188422:0.873069:0.188422:0.858343:0.169216:0.858343:0.000000:0.000000
gx:@0.168785:0.890719:0.189550:0.890719:0.189550:0.875994:0.168785:0.875994:0.000000:0.000000
x:@0.221409:0.873069:0.228126:0.873069:0.228126:0.858343:0.221409:0.858343:0.000000
x:@0.217876:0.890719:0.224593:0.890719:0.224593:0.875994:0.217876:0.875994:0.000000
 :@0.104370:0.872347:0.132464:0.872359:0.132464:0.857111:0.104370:0.857099:0.000000:0.000000:0.000000
 :@0.104370:0.893109:0.132464:0.893121:0.132464:0.877873:0.104370:0.877861:0.000000:0.000000:0.000000
 :@0.104370:0.883636:0.132464:0.883649:0.132464:0.868401:0.104370:0.868388:0.000000:0.000000:0.000000
=:@0.154970:0.880612:0.164075:0.880612:0.164075:0.865364:0.154970:0.865364:0.000000
=:@0.199550:0.880612:0.208655:0.880612:0.208655:0.865364:0.199550:0.865364:0.000000
+:@0.231824:0.872720:0.240929:0.872720:0.240929:0.857472:0.231824:0.857472:0.000000
−:@0.228292:0.890370:0.237397:0.890370:0.237397:0.875122:0.228292:0.875122:0.000000
≠:@0.276968:0.880612:0.286073:0.880612:0.286073:0.865364:0.276968:0.865364:0.000000
():@0.133592:0.880985:0.152316:0.880985:0.152316:0.866235:0.133592:0.866235:0.000000:0.000000
():@0.175718:0.873093:0.194442:0.873093:0.194442:0.858343:0.175718:0.858343:0.000000:0.000000
():@0.176846:0.890744:0.195570:0.890744:0.195570:0.875994:0.176846:0.875994:0.000000:0.000000
;  x 5:@0.253882:0.880985:0.297069:0.880985:0.297069:0.866235:0.253882:0.866235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.212602:0.873093:0.220696:0.873093:0.220696:0.858343:0.212602:0.858343:0.000000
3:@0.243268:0.873093:0.251361:0.873093:0.251361:0.858343:0.243268:0.858343:0.000000
5:@0.239453:0.890744:0.247547:0.890744:0.247547:0.875994:0.239453:0.875994:0.000000
; Dominio   – {5}:@0.299633:0.880998:0.413214:0.880998:0.413214:0.866099:0.299633:0.866099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.368351:0.881526:0.380446:0.881526:0.380446:0.865521:0.368351:0.865521:0.000000
Ejemplos paso a paso:@0.096359:0.274501:0.251252:0.274501:0.251252:0.259137:0.096359:0.259137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.302101:0.110585:0.302101:0.110585:0.285200:0.096359:0.285200:0.000000:0.000000
  En relación con el problema planteado inicialmente, tenemos::@0.110585:0.302101:0.578900:0.302101:0.578900:0.285712:0.110585:0.285712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.248399:0.242599:0.248399:0.242599:0.233034:0.117728:0.233034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.249184:0.108221:0.249184:0.108221:0.232049:0.096132:0.232049:0.000000
Composición de funciones:@0.096359:0.107815:0.363540:0.107815:0.363540:0.086305:0.096359:0.086305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La composición de funciones consiste en aplicar sucesivamente dos o más funciones :@0.096359:0.130596:0.716597:0.130596:0.716597:0.114207:0.096359:0.114207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre un mismo elemento de entrada. Para dos funciones  ( ) y  ( ), la composición :@0.096359:0.147192:0.716539:0.147192:0.716539:0.130803:0.096359:0.130803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.527197:0.147192:0.544243:0.147192:0.544243:0.130831:0.527197:0.130831:0.000000:0.000000:0.000000
g x:@0.566098:0.147192:0.587714:0.147192:0.587714:0.130831:0.566098:0.130831:0.000000:0.000000:0.000000
de   con   se denota como (   )( ) =  [ ( )], y se lee “  compuesta con  ”, lo que significa :@0.096359:0.163789:0.716560:0.163789:0.716560:0.147400:0.096359:0.147400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.118233:0.163789:0.127502:0.163789:0.127502:0.147427:0.118233:0.147427:0.000000
f:@0.161224:0.163789:0.165923:0.163789:0.165923:0.147427:0.161224:0.147427:0.000000
g f x:@0.292761:0.163789:0.336176:0.163789:0.336176:0.147427:0.292761:0.147427:0.000000:0.000000:0.000000:0.000000:0.000000
∘ :@0.305089:0.164369:0.315648:0.164369:0.315648:0.146763:0.305089:0.146763:0.000000:0.000000
g f x:@0.358050:0.163789:0.388492:0.163789:0.388492:0.147427:0.358050:0.147427:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.462032:0.163789:0.471301:0.163789:0.471301:0.147427:0.462032:0.147427:0.000000
f :@0.589575:0.163789:0.597407:0.163789:0.597407:0.147427:0.589575:0.147427:0.000000:0.000000
que primero se aplica  ( ), y luego se aplica  ( ) al resultado de  ( ).:@0.096359:0.180385:0.580763:0.180385:0.580763:0.163996:0.096359:0.163996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.258557:0.180385:0.275603:0.180385:0.275603:0.164024:0.258557:0.164024:0.000000:0.000000:0.000000
g x:@0.413128:0.180385:0.434744:0.180385:0.434744:0.164024:0.413128:0.164024:0.000000:0.000000:0.000000
f x:@0.555627:0.180385:0.572673:0.180385:0.572673:0.164024:0.555627:0.164024:0.000000:0.000000:0.000000
El dominio de     está compuesto por todos los valores de   en el dominio de  , tal :@0.096359:0.204104:0.716504:0.204104:0.716504:0.187715:0.096359:0.187715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g f:@0.203221:0.204104:0.232171:0.204104:0.232171:0.187743:0.203221:0.187743:0.000000:0.000000:0.000000
∘ :@0.216692:0.204685:0.227251:0.204685:0.227251:0.187079:0.216692:0.187079:0.000000:0.000000
x:@0.539894:0.204104:0.547357:0.204104:0.547357:0.187743:0.539894:0.187743:0.000000
f:@0.682211:0.204104:0.686910:0.204104:0.686910:0.187743:0.682211:0.187743:0.000000
que  ( ) está en el dominio de  .:@0.096359:0.220700:0.330519:0.220700:0.330519:0.204311:0.096359:0.204311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.129105:0.220700:0.146151:0.220700:0.146151:0.204339:0.129105:0.204339:0.000000:0.000000:0.000000
g:@0.318044:0.220700:0.327313:0.220700:0.327313:0.204339:0.318044:0.204339:0.000000
Producto de un escalar :@0.755006:0.138425:0.923502:0.138425:0.923502:0.123061:0.755006:0.123061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por una función :@0.755006:0.153513:0.873546:0.153513:0.873546:0.138148:0.755006:0.138148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una operación :@0.755006:0.172158:0.873245:0.172158:0.873245:0.157259:0.755006:0.157259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática en la que se :@0.755006:0.187246:0.921693:0.187246:0.921693:0.172347:0.755006:0.172347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplica una función  ( ) :@0.755006:0.202334:0.932448:0.202334:0.932448:0.187435:0.755006:0.187435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.908844:0.202334:0.924339:0.202334:0.924339:0.187460:0.908844:0.187460:0.000000:0.000000:0.000000
por un número real :@0.755006:0.217421:0.888086:0.217421:0.888086:0.202522:0.755006:0.202522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(escalar)  . :@0.755006:0.232509:0.826505:0.232509:0.826505:0.217610:0.755006:0.217610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.813037:0.232509:0.819922:0.232509:0.819922:0.217635:0.813037:0.217635:0.000000
Se define como::@0.755006:0.251155:0.862490:0.251155:0.862490:0.236256:0.755006:0.236256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )( ) =   •  ( ):@0.755006:0.269800:0.846324:0.269800:0.846324:0.254901:0.755006:0.254901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
kf x:@0.759446:0.269800:0.786266:0.269800:0.786266:0.254927:0.759446:0.254927:0.000000:0.000000:0.000000:0.000000
k f x:@0.808028:0.269800:0.841884:0.269800:0.841884:0.254927:0.808028:0.254927:0.000000:0.000000:0.000000:0.000000:0.000000
Esto significa que cada :@0.755006:0.288446:0.909797:0.288446:0.909797:0.273547:0.755006:0.273547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor de la función  ( ) se :@0.755006:0.303534:0.923435:0.303534:0.923435:0.288635:0.755006:0.288635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.881788:0.303534:0.897284:0.303534:0.897284:0.288660:0.881788:0.288660:0.000000:0.000000:0.000000
multiplica por el escalar  , :@0.755006:0.318621:0.929700:0.318621:0.929700:0.303722:0.755006:0.303722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.916231:0.318621:0.923117:0.318621:0.923117:0.303748:0.916231:0.303748:0.000000
lo que afecta su amplitud, :@0.755006:0.333709:0.930903:0.333709:0.930903:0.318810:0.755006:0.318810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pero sin cambiar su :@0.755006:0.348797:0.888690:0.348797:0.888690:0.333898:0.755006:0.333898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dominio.:@0.755006:0.363884:0.814259:0.363884:0.814259:0.348985:0.755006:0.348985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775870:0.105983:0.883411:0.105983:0.883411:0.089082:0.775870:0.089082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una forma de aprender :@0.755006:0.449500:0.914320:0.449500:0.914320:0.434601:0.755006:0.434601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática es relacionar :@0.755006:0.464588:0.925443:0.464588:0.925443:0.449689:0.755006:0.449689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los conceptos con :@0.755006:0.479675:0.880530:0.479675:0.880530:0.464776:0.755006:0.464776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
situaciones cotidianas o :@0.755006:0.494763:0.917706:0.494763:0.917706:0.479864:0.755006:0.479864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas prácticos que :@0.755006:0.509851:0.924288:0.509851:0.924288:0.494952:0.755006:0.494952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los estudiantes puedan :@0.755006:0.524938:0.913784:0.524938:0.913784:0.510039:0.755006:0.510039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ver en su entorno, como :@0.755006:0.540026:0.921791:0.540026:0.921791:0.525127:0.755006:0.525127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
juegos, deportes, cocina o :@0.755006:0.555113:0.933099:0.555113:0.933099:0.540214:0.755006:0.540214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tecnología, para darles :@0.755006:0.570201:0.909160:0.570201:0.909160:0.555302:0.755006:0.555302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sentido y utilidad :@0.755006:0.585289:0.873898:0.585289:0.873898:0.570390:0.755006:0.570390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inmediata y tener el firme :@0.755006:0.600376:0.929764:0.600376:0.929764:0.585477:0.755006:0.585477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
convencimiento de que :@0.755006:0.615464:0.918392:0.615464:0.918392:0.600565:0.755006:0.600565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puedes lograr aprender.:@0.755006:0.630552:0.914084:0.630552:0.914084:0.615653:0.755006:0.615653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué compromiso puedes :@0.755006:0.649197:0.922629:0.649197:0.922629:0.634323:0.755006:0.634323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacer para aprender estos :@0.755006:0.664285:0.922075:0.664285:0.922075:0.649411:0.755006:0.649411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temas?:@0.755006:0.679373:0.800338:0.679373:0.800338:0.664499:0.755006:0.664499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.760255:0.417058:0.899027:0.417058:0.899027:0.400157:0.760255:0.400157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los impuestos son :@0.755006:0.763248:0.882507:0.763248:0.882507:0.748349:0.755006:0.748349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cantidades de dinero que :@0.755006:0.778336:0.929347:0.778336:0.929347:0.763437:0.755006:0.763437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el gobierno retira de :@0.755006:0.793424:0.894552:0.793424:0.894552:0.778525:0.755006:0.778525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nuestros ingresos para :@0.755006:0.808511:0.908507:0.808511:0.908507:0.793612:0.755006:0.793612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiar servicios :@0.755006:0.823599:0.876342:0.823599:0.876342:0.808700:0.755006:0.808700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
públicos, como :@0.755006:0.838686:0.861165:0.838686:0.861165:0.823787:0.755006:0.823787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
educación, salud o :@0.755006:0.853774:0.883330:0.853774:0.883330:0.838875:0.755006:0.838875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infraestructura. :@0.755006:0.868862:0.858668:0.868862:0.858668:0.853963:0.755006:0.853963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Averigua con tus padres :@0.755006:0.887507:0.909210:0.887507:0.909210:0.872634:0.755006:0.872634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acerca de algún impuesto :@0.755006:0.902595:0.921890:0.902595:0.921890:0.887721:0.755006:0.887721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y su valor.:@0.755006:0.917683:0.816471:0.917683:0.816471:0.902809:0.755006:0.902809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación  :@0.802481:0.723891:0.887787:0.723891:0.887787:0.706990:0.802481:0.706990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera:@0.802311:0.737721:0.877360:0.737721:0.877360:0.720821:0.802311:0.720821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000