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MathNet 2008-part-01 — 165 problems (EN–VI) Question 94

Math Olympiad Vault · MathNet 2008-part-01 — 165 problems (EN–VI)

Question 94

Determine all functions $f$ defined on the set of rationals that take rational values for which
$$
f(2 f(x)+f(y))=2 x+y
$$
for each $x$ and $y$.