Find g(h(x)) g(x)=2x and h(x)=x^2+4

$g (x) = 2 x$ and $h (x) = x^{2} + 4$

Set up the composite result function.

$g (h (x))$

Evaluate $g (x^{2} + 4)$ by substituting in the value of $h$ into $g$ .

$g (x^{2} + 4) = 2 (x^{2} + 4)$

Apply the distributive property.

$g (x^{2} + 4) = 2 x^{2} + 2 \cdot 4$

Multiply $2$ by $4$ .

$g (x^{2} + 4) = 2 x^{2} + 8$