Question 97
Find all functions $f: \mathbb{R}^+ \to \mathbb{R}^+$, such that
$$
f\left(\frac{x}{f(y)}\right) = \frac{(f(x))^2}{y f(f(x))}
$$
for all $x, y \gt 0$.
$$
f\left(\frac{x}{f(y)}\right) = \frac{(f(x))^2}{y f(f(x))}
$$
for all $x, y \gt 0$.
MathNet 2016-part-05 — 184 problems (EN–VI) Question 97
Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)