Question 155
Determine all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ satisfying
$$
f\left(x^{2}+f(x) f(y)\right)=x f(x+y)
$$
for all real numbers $x$ and $y$.
$$
f\left(x^{2}+f(x) f(y)\right)=x f(x+y)
$$
for all real numbers $x$ and $y$.
MathNet 2017-part-03 — 176 problems (EN–VI) Question 155
Math Olympiad Vault · MathNet 2017-part-03 — 176 problems (EN–VI)