Question

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

Answer 1

Answer:

$f(x) = 2x + 5$

$g(x) = (x - 6)^2$

Step-by-step explanation:

Given

(a) to (d)

Required

Which will give:

$f(g(x)) = 2(x - 6)^2 + 5$

Equate the expression in bracket to g(x)

$g(x) = (x - 6)^2$

Replace g(x) with x in: $f(g(x)) = 2(x - 6)^2 + 5$

$f(x) = 2x + 5$