Question 56
Determine all functions $f : \mathbb{R} \to \mathbb{R}$ such that:
$$
f(xf(x) + f(y)) = f(f(x^2)) + y, \quad \forall x, y \in \mathbb{R}.
$$
$$
f(xf(x) + f(y)) = f(f(x^2)) + y, \quad \forall x, y \in \mathbb{R}.
$$
MathNet 2023-part-05 — 191 problems (EN–VI) Question 56
Math Olympiad Vault · MathNet 2023-part-05 — 191 problems (EN–VI)