Question 182
Find all functions $f: \mathbb{R} \to \mathbb{R}$ such that
$$
f(x)f(y) + f(x) = 2f(x) + xy
$$
for every real $x, y$.
$$
f(x)f(y) + f(x) = 2f(x) + xy
$$
for every real $x, y$.
MathNet 2006 — Part 02 Question 182
Math Olympiad Vault · MathNet 2006 — Part 02