Question

How I express a function F(x) as the sum of an even and an odd function? (Be F(x) = (x - 1)/(x+1) for example.)

Answer 1

HINT: First explicitly write out F(x) in terms of an even and an odd part \[F(x) = E(x) + O(x)\] See what happens when you explicitly write out \[F(-x)\]

Answer 2

\[\frac{ P _{o}(x)+P _{e}(-x) }{ 2 }\]
i remember a formulR LIKE THIS

Answer 3

Thanks friends Jonask and dliao.

Answer 4

Great responses. Thank you very much. I understand. now.