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MathNet 2023-part-05 — 191 problems (EN–VI) Question 164

Math Olympiad Vault · MathNet 2023-part-05 — 191 problems (EN–VI)

Question 164

Does there exist a function $f : \mathbb{Q} \to \mathbb{Q}$ satisfying
$$
f(x + y + 2f(y)) = \frac{2022}{2023} \cdot y + f(x)
$$
for all $x, y \in \mathbb{Q}$?