Question 184
Show that there is no function $f: \mathbb{Z} \rightarrow \mathbb{Z}$ such that for all integers $m, n$:
$$
f(m+f(n))=f(m)-n
$$
$$
f(m+f(n))=f(m)-n
$$
MathNet 2019-part-06 — 184 problems (EN–VI) Question 184
Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)