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

Answer:

$f(x) = x + 4$

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

Step-by-step 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:

$f(x) = x + 4$