Question 144
a) Determine all functions $f: \mathbb{Z} \to \mathbb{Z}$ such that
$$
f(x - f(y)) = f(f(x)) - f(y) - 1
$$
for all integers $x$ and $y$.
b) The same question if
$$
f(x - f(y)) = f(f(x)) - f(y) - 2
$$
for all integers $x$ and $y$.
$$
f(x - f(y)) = f(f(x)) - f(y) - 1
$$
for all integers $x$ and $y$.
b) The same question if
$$
f(x - f(y)) = f(f(x)) - f(y) - 2
$$
for all integers $x$ and $y$.