Question

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

Answer 1

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

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`