Question 132
Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that
$$
f(2 f(x))=f(x-f(y))+f(x)+y
$$
for all $x, y \in \mathbb{R}$.
$$
f(2 f(x))=f(x-f(y))+f(x)+y
$$
for all $x, y \in \mathbb{R}$.
MathNet 2023-part-04 — 191 problems (EN–VI) Question 132
Math Olympiad Vault · MathNet 2023-part-04 — 191 problems (EN–VI)