Question

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

Answer 1

Answer:

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

Step-by-step 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:

$g( - 4) = 3 \times - 4 - 2$

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

$g( - 4) = - 14$

Now

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

This implies that,

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

$f(g( - 4)) = {( - 14)} \times - 14$

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