Question 10
The set of all integers is represented by $\mathbb{Z}$. Find all functions $f: \mathbb{Z} \rightarrow \mathbb{Z}$ such that, for any integers $x, y$ holds
$$
f(x+f(y))=f(x)-y
$$
$$
f(x+f(y))=f(x)-y
$$
MathNet 2004 — Part 02 Question 10
Math Olympiad Vault · MathNet 2004 — Part 02