Question 166
Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that for any real numbers $x$ and $y$,
$$
f(x+y)=\max (f(x), y)+\min (f(y), x) .
$$
$$
f(x+y)=\max (f(x), y)+\min (f(y), x) .
$$
MathNet 2019-part-07 — 184 problems (EN–VI) Question 166
Math Olympiad Vault · MathNet 2019-part-07 — 184 problems (EN–VI)