Question 35
Find all functions $f: (0, \infty) \to (0, \infty)$ such that
$$
f(yf(x)^3 + x) = x^3 f(y) + f(x)
$$
for all $x, y \gt 0$.
$$
f(yf(x)^3 + x) = x^3 f(y) + f(x)
$$
for all $x, y \gt 0$.
MathNet 2022-part-01 — 197 problems (EN–VI) Question 35
Math Olympiad Vault · MathNet 2022-part-01 — 197 problems (EN–VI)