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

Let $$h=\frac{f}{g}$$ and assume that $g(x)\neq0$ for all $x$ in the domain of $h$. 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.

More specifically,

if $g$ is even then $1/g$ is , and if $g$ is odd then $1/g$ is .