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

May 7, 2018

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)=$\frac{1}{- {x}^{3} + 1}$
which is not equal to either f(x) or f(-x).
So its neither of the two.

Hope it helps!!