Answer
$104$
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.
Let's begin by plugging in our value of $-5$ into the inner function $g(x)$:
$g(1) = 2(-5)$
Multiply to simplify:
$g(1) = -10$
Now, we will use the output $-10$ to plug in for $x$ in the outer function $h(x)$:
$h(g(-5)) = (-10)^2 + 4$
Evaluate exponents first, according to order of operations:
$h(g(1)) = 100 + 4$
Add to evaluate $h(g(x))$:
$h(g(1)) = 104$
