Let f(x) = x^4 + 2x^2 + 1 / x + 1

Question

Find f(-x)and determine
if f is even, odd, or neither.

Answer 1

f(-x) = x^4 + a x^2 -1/x + 1
so
f(-x) is not the same as f(x) so not even
however f(-x) is not -f(x) either so it is not odd either

Answer 2

Thank you