HW (Pre-Calculus)

Determine algebraically whether each function is even, odd, or neither.

$${h}{\left({\mathtt{x}}\right)} = {\frac{{\mathtt{x}}}{\left({{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}}$$

I can get to  $${h}{\left({\mathtt{\,-\,}}{\mathtt{x}}\right)} = {\mathtt{\,-\,}}\left({\frac{{\mathtt{x}}}{\left({{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}}\right)$$  but past that... I have no idea.