Question

Is the function f(x) = x^(–4) + cos(–2x) even, odd, or neither?

Answer 1

@phi @mathstudent55

Answer 2

If \(f(x) \) is even, then \(f(-x)=f(x)\)
If \(f(x) \) is odd, then \(f(-x)=-f(x)\).

Answer 3

So try see what you get from
\(f(-x)=(-x)^{-4}+\cos(-2(-x))\)

Answer 4

I just realized that cos(-x)=cos(x). Thanks

Answer 5

:)