Library / /66 of 151

, 2018

Algebra Difficulty 7.0 National Olympiad, round 2 Find the answer Hungary

Let $\mathbb{R}^+$ denote the set of positive real numbers. Find all functions $f\colon \mathbb{R}^+\to \mathbb{R}^+$ satisfying the following equation for all $x,y\in\mathbb{R}^+$ :

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: KöMaL, licensed Rights held by KöMaL and the MATFUND Foundation. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.