Question

Dadas as funções f(x)=5x e g(x)=3x+2, calcule:

a) fogofof

b) gogogof

Answer 1

f(x)=5x e g(x)=3x+2, calcule:

a) fogofof = f(g(f(f(x)

 f(f(x) = 5(5x) ==> 25x

 g(f(f(x) = 3(25x) + 2 ==> 75x + 2

 f(g(f(f(x) = 5(75x + 2) ==> 285x + 10
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b) gogogof


f(x)=5x e g(x)=3x+2,

gogogof = g(g(g(f(x)))

 g(f(x)) = 3(5x) + 2 ==> 15x + 2

 g(g(f(x))) = 3(15x +2 ) + 2 ==> 45x + 6 + 2 ==> 45x + 8

 g(g(g(f(x))) = 3(45x + 8 )  + 2 ==> 135x + 24 + 2 ==> 135x + 26