Answer
odd
Work Step by Step
We know that if a function is odd, then $f(-x)=-f(x).$
We know that if a function is even, then $f(-x)=f(x).$
Hence, we plug in $-x$ into $x$ to see what happens.
$h(-x)=\dfrac{-x}{(-x)^2-1}\\
h(-x)=\dfrac{-x}{x^2-1}\\
h(-x)=-h(x).$
Therefore the function is odd.
