Answer
$16$
Work Step by Step
For these types of problems where we are given a value to plug into composite functions, we evaluate the inner function first. Then we use the output of the inner function and substitute it where we see $x$ in the outer function. We can rewrite this composite function as $g(h(-2))$.
Let's begin by plugging in our value of $-2$ into the inner function $h(x)$:
$h(-2) = (-2)^2 + 4$
Multiply to simplify:
$h(-2) = 4 + 4$
Add to solve:
$h(-2) = 8$
Now, we will use the output $8$ to plug in for $x$ in the outer function $g(x)$:
$g(h(-2)) = 2(8)$
Multiply to evaluate:
$g(h(-2)) = 16$
