Question

Determine if the function is even, odd, or neither.g(x) = x12+ x5

Answer 1

An even function is defined as function that fullfils:

`f(-x)=f(x)`

An odd function is defined as a function that fullfils:

`f(-x)=-f(x)`

Then we need to find if the function fullfuls either of the definitions above:

`\begin{gathered} g(-x)=(-x)^(12)+(-x)^5 \\ =x^(12)-x^5 \end{gathered}`

Therefore, the function does not fullfils neither of the definitions, hence the function is not an even or odd one.