Question 61
Find all functions $f$ defined on all real numbers and taking real values such that
$$ f(f(y)) + f(x - y) = f(xf(y) - x) $$
for all real numbers $x, y$.
$$ f(f(y)) + f(x - y) = f(xf(y) - x) $$
for all real numbers $x, y$.
Math Olympiad Vault · MathNet 2014