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f (f(x) + 2f(y)) = f(2x) + 8y + 6

Source: Switzerland - 2012 Swiss MO Final Round p2

December 30, 2022
algebrafunctionalfunctional equation

Problem Statement

Determine all functions f:R→Rf : R \to R such that for all x,y∈Rx, y\in R holds f(f(x)+2f(y))=f(2x)+8y+6.f (f(x) + 2f(y)) = f(2x) + 8y + 6.
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