Question 191
Find all functions $f: \mathbb{R}^+ \to \mathbb{R}^+$ such that
$$
f\left(\frac{f(x)}{x} + y\right) = 1 + f(y), \forall x, y \gt 0.
$$
$$
f\left(\frac{f(x)}{x} + y\right) = 1 + f(y), \forall x, y \gt 0.
$$
MathNet 2022-part-06 — 196 problems (EN–VI) Question 191
Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)