Question 11
Find all functions $f: \mathbb{Z} \to \mathbb{Z}$ satisfying
$$
f(-f(x) - f(y)) = 1 - x - y
$$
for all $x, y \in \mathbb{Z}$.
$$
f(-f(x) - f(y)) = 1 - x - y
$$
for all $x, y \in \mathbb{Z}$.
Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 04