Question

How do you determine if `f(x) = (x^4) / (x^2 - 1)` is an even or odd function?

Answer 1

Even function.

Explanation:

`f(-x)=(-x)^4/((-x)^2-1)=x^4/(x^2-1)=f(x)`.

So, f(x) is an even function of x.