Question 75
Find all the real functions $f: \mathbb{R} \to \mathbb{R}$ such that
$$
f(x^2 - y^2) = (x - y)[f(x) + f(y)].
$$
$$
f(x^2 - y^2) = (x - y)[f(x) + f(y)].
$$
MathNet 2008-part-03 — 165 problems (EN–VI) Question 75
Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)