MathDB
f(f(x) + y)f(x) = f(xy + 1)

Source: IMOC 2020 A2

August 31, 2020
functional equationalgebraIMOC

Problem Statement

Find all f:R+R+f:R^+ \rightarrow R^+ such that f(f(x)+y)f(x)=f(xy+1)  x,yR+f(f(x) + y)f(x) = f(xy + 1)\ \ \forall x, y \in R^+
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