Answer
The function is neither even nor odd.
Work Step by Step
The given function is
$\Rightarrow h(x)=5^x+2$
Substitute $-x$ for $x$.
$\Rightarrow h(-x)=5^{-x}+2$
Simplify.
$\Rightarrow h(-x)=\frac{1}{5^{x}}+2$
Because $h(-x)\neq-h(x)$ and $h(-x)\neq h(x)$, the function is neither even nor odd.
