MathDB
Functional equation

Source: Baltic Way 2014, Problem 4

November 11, 2014
functional equationalgebraBaltic Way

Problem Statement

Find all functions ff defined on all real numbers and taking real values such that f(f(y))+f(x−y)=f(xf(y)−x),f(f(y)) + f(x - y) = f(xf(y) - x), for all real numbers x,y.x, y.
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