Question

2) f(x) = x² **
g(x)= 3x – 2
Find f(g(-4)

Answer 1

`f(g( - 4)) = 196`

Explanation:

The functions are;

`f(x) = {x}^(2)`

and

`g(x) = 3x - 2`

We want to find

`f(g( - 4))`

First we find g(-4) to get:

`g( - 4) = 3 * - 4 - 2`

`g( - 4) = - 12- 2`

`g( - 4) = - 14`

Now

`f(g( - 4)) = f( - 14)`

This implies that,

`f(g( - 4)) = {( - 14)}^(2)`

`f(g( - 4)) = {( - 14)} * - 14`

`f(g( - 4)) = 196`