Cubed FE
Source: Balkan MO 2022 P3
May 6, 2022
Balkan Mathematics Olympiadfunctional equationalgebra
Problem Statement
Find all functions such that
\begin{align*}
f(y(f(x))^3 + x) = x^3f(y) + f(x)
\end{align*}
for all . Proposed by Jason Prodromidis, Greece