Question

Which of the following will form the composite function G(F(x)) shown

below?
G(F(x)) = 3(x+4)2-5

Answer 1

`f(x) = x + 4`

`g(x) = 3x^2 - 5`

Explanation:

Given

`g(f(x)) = 3(x + 4)^2 - 5`

Required

Find g(x) and f(x)

Replace all expression in bracket with x

`g(x) = 3(x)^2 - 5`

`g(x) = 3x^2 - 5`

The expression removed from bracket are:

f(x) and x + 4

So:

`f(x) = x + 4`