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MathNet 2015-part-02 — 191 problems (EN–VI) Question 184

Math Olympiad Vault · MathNet 2015-part-02 — 191 problems (EN–VI)

Question 184

Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that $f(f(x)+3y)=12x+f(f(y)-x)$ for all $x, y \in \mathbb{R}$.