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

Source: Thailand Mathematical Olympiad 2015 p9

August 16, 2020
algebrafunctionalfunctional equation

Problem Statement

Determine all functions f:R→Rf : R \to R satisfying f(f(x)+2y)=6x+f(f(y)−x)f(f(x) + 2y)= 6x + f(f(y) -x) for all real numbers x,yx,y
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