Question

If a function, f(x), is even, then will g(f(x)) always even?

(Even if g(x) is even or odd). Even is such a weird word. Eeeevvvvehhnnn.

Answer 1

If f(x) is even then f(x)=f(-x).
We r asked to prove whether g(f(x)) is even or not then we must prove that g(f(x))=g(f(-x))

Answer 2

Since f(x)=f(-x) therefore g(f(x)) will always be equal to g(f(-x))

Answer 3

That simple?

Answer 4

Wouldn't it....like change if g(x) is even/odd?