Question

Is the function `f(x)=1/(x^3+1)` even, odd or neither?

Answer 1

It is neither .

Explanation:

A function f(x) is even if f(-x)=f(x) and odd if f(-x)=-f(x)
Putting x=-x we get
f(x)=`1/(-x^3+1)`
which is not equal to either f(x) or f(-x).
So its neither of the two.

Hope it helps!!