Question

If f(x) = 5x + 7 and g(x) = -2x - 4 Find f(g(x)) = -10x + [?] Enter​

Answer 1

Answer:

$f(g(x)) = -10x -13$

Step-by-step explanation:

Given

$f(x) = 5x + 7$

$g(x) = -2x - 4$

Required

Find f(g(x))

This is calculated as:

$f(x) = 5x + 7$

Substitute g(x) for x

$f(g(x)) = 5(f(g(x)) + 7$

Substitute $g(x) = -2x - 4$

$f(g(x)) = 5(-2x - 4) + 7$

Open bracket

$f(g(x)) = -10x - 20 + 7$

$f(g(x)) = -10x -13$