Question 38
Find all functions $f : (0, \infty) \to (0, \infty)$ such that
$$
f(f(x) + y) = x f(1 + x y),
$$
for all $x, y$ in $(0, \infty)$.
$$
f(f(x) + y) = x f(1 + x y),
$$
for all $x, y$ in $(0, \infty)$.
MathNet 2008-part-02 — 165 problems (EN–VI) Question 38
Math Olympiad Vault · MathNet 2008-part-02 — 165 problems (EN–VI)