Answer
$8$
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 $1$ into the inner function $g(x)$:
$g(1) = 2(1)$
Multiply to simplify:
$g(1) = 2$
Now, we will use the output $2$ to plug in for $x$ in the outer function $h(x)$:
$h(g(1)) = (2)^2 + 4$
Evaluate exponents first, according to order of operations:
$h(g(1)) = 4 + 4$
Add to evaluate $h(g(x))$:
$h(g(1)) = 8$
