Question

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

Answer 1

Neither.

Explanation:

Note that:

`(x^3+1)/x = x^2+1/x`

which is the sum of an even function and an odd function, with the result that it is neither.

To confirm, note that:

`f(-1) = ((-1)^3+1)/(-1) = 0`

`f(1) = (1^2+1)/1 = 2`

So `f(-1) != -f(1)` and `f(-1) != f(1)`