Question 14
Determine all functions $f: \mathbb{Z} \rightarrow \mathbb{Z}$ that satisfy the equation
$$
f(x-f(y)) = f(f(x)) - f(y) - 1
$$
for all $x, y \in \mathbb{Z}$.
$$
f(x-f(y)) = f(f(x)) - f(y) - 1
$$
for all $x, y \in \mathbb{Z}$.
MathNet 2016-part-02 — 184 problems (EN–VI) Question 14
Math Olympiad Vault · MathNet 2016-part-02 — 184 problems (EN–VI)