Find g(h(x)) g(x)=-8x h(x)=2x+3

$g (x) = - 8 x$ $h (x) = 2 x + 3$

Step 1

Set up the composite result function.

$g (h (x))$

Step 2

Evaluate $g (2 x + 3)$ by substituting in the value of $h$ into $g$ .

$g (2 x + 3) = - 8 (2 x + 3)$

Step 3

Apply the distributive property.

$g (2 x + 3) = - 8 (2 x) - 8 \cdot 3$

Step 4

Multiply.

Multiply $2$ by $- 8$ .

$g (2 x + 3) = - 16 x - 8 \cdot 3$

Multiply $- 8$ by $3$ .

$g (2 x + 3) = - 16 x - 24$