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MathNet 2014 Question 79

Math Olympiad Vault · MathNet 2014

Question 79

Find all functions $f : \mathbb{Q} \to \mathbb{Q}$ such that
$$
f(x + 3f(y)) = f(x) + f(y) + 2y,
$$
for all $x, y \in \mathbb{Q}$.