GeorgeRP 10.09.2024 19:38 Find all functions \( f:\mathbb{Z} \to \mathbb{Z} \) such that \[ f(x + f(y) - 2y) + f(f(y)) = f(x) \]for all integers \( x \) and \( y \).
GeorgeRP 11.09.2024 10:22 @above I don't think your solution is correct, as they are many more solutions to the FE (for example $f(x)=x$ and others). How exactly does $P(x,2f(0))$ give you what you've written?
math_comb01 11.09.2024 10:39 By $P(x-f(y),y)$, this problem is equivalent to Malaysia APMOTST 2024 P3