MathDB
IMO ShortList 2002, algebra problem 1

Source: IMO ShortList 2002, algebra problem 1

September 28, 2004
algebrafunctional equationIMO Shortlist

Problem Statement

Find all functions ff from the reals to the reals such that f(f(x)+y)=2x+f(f(y)āˆ’x)f\left(f(x)+y\right)=2x+f\left(f(y)-x\right) for all real x,yx,y.
Back to ProblemsView on AoPS