Enter E if the function is even, O if it is odd, or N if it is neither even nor odd.

Let $$h=f\circ g.$$ i.e., $h$ is the composition of $f$ and $g$. Then

$h$ is if $f$ and $g$ are both even,

$h$ is if $f$ is even and $g$ is odd, and

$h$ is if $f$ and $g$ are both odd.