Question 26
Find all functions $f: \mathbb{Z} \rightarrow \mathbb{Z}$ such that
$$
f(2 m+f(m)+f(m) f(n))=n f(m)+m
$$
for any integers $m, n$.
$$
f(2 m+f(m)+f(m) f(n))=n f(m)+m
$$
for any integers $m, n$.
MathNet 2016-part-05 — 184 problems (EN–VI) Question 26
Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)