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VMO 2022 problem 2 day 1

Source: Vietnam Mathematical Olympiad 2022 problem 2 day 1

March 4, 2022
vmoalgebrafunctional equationfunction

Problem Statement

Find all function f:R+ā†’R+f:\mathbb R^+ \rightarrow \mathbb R^+ such that: f\left(\frac{f(x)}{x}+y\right)=1+f(y),   \forall x,y \in \mathbb R^+.
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