Question 51
Find all functions $f: \mathbb{Z} \rightarrow \mathbb{Z}$ from the integers to the integers satisfying
$$
f(m+f(n))-f(m)=n
$$
for all integers $m, n \in \mathbb{Z}$.
$$
f(m+f(n))-f(m)=n
$$
for all integers $m, n \in \mathbb{Z}$.
MathNet 2022-part-06 — 196 problems (EN–VI) Question 51
Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)