Question 34
Determine all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that
$$
(y+1) f(x)+f(x f(y)+f(x+y))=y
$$
for all $x, y \in \mathbb{R}$.
$$
(y+1) f(x)+f(x f(y)+f(x+y))=y
$$
for all $x, y \in \mathbb{R}$.
MathNet 2017-part-04 — 176 problems (EN–VI) Question 34
Math Olympiad Vault · MathNet 2017-part-04 — 176 problems (EN–VI)