MathDB
Hard functional equation

Source: IMO shortlist A8 2020

July 20, 2021
functional equationalgebraIMO Shortlist

Problem Statement

Let R+R^+ be the set of positive real numbers. Determine all functions f:R+f:R^+ ā†’\rightarrow R+R^+ such that for all positive real numbers xx and y:y: f(x+f(xy))+y=f(x)f(y)+1f(x+f(xy))+y=f(x)f(y)+1
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