Question 83
Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that
$$
f\left(x^{2}+y+f(y)\right)=2 y+(f(x))^{2}
$$
for any $x, y \in \mathbb{R}$.
$$
f\left(x^{2}+y+f(y)\right)=2 y+(f(x))^{2}
$$
for any $x, y \in \mathbb{R}$.
MathNet 2003 — Part 01 Question 83
Math Olympiad Vault · MathNet 2003 — Part 01