Question 75
Determine all functions $f: \mathbb{R} \to \mathbb{R}$ satisfying
$$
(x^2 + y^2)f(xy) = f(x)f(y)f(x^2 + y^2)
$$
for all real numbers $x$ and $y$.
$$
(x^2 + y^2)f(xy) = f(x)f(y)f(x^2 + y^2)
$$
for all real numbers $x$ and $y$.
MathNet 2013 Question 75
Math Olympiad Vault · MathNet 2013