Find g(f(x)) f(x)=-4x+2 , g(x)=5x+8

$f (x) = - 4 x + 2$ , $g (x) = 5 x + 8$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (- 4 x + 2)$ by substituting in the value of $f$ into $g$ .

$g (- 4 x + 2) = 5 (- 4 x + 2) + 8$

Step 3

Simplify each term.

Apply the distributive property.

$g (- 4 x + 2) = 5 (- 4 x) + 5 \cdot 2 + 8$

Multiply $- 4$ by $5$ .

$g (- 4 x + 2) = - 20 x + 5 \cdot 2 + 8$

Multiply $5$ by $2$ .

$g (- 4 x + 2) = - 20 x + 10 + 8$

Step 4

Add $10$ and $8$ .

$g (- 4 x + 2) = - 20 x + 18$