MathDB
No such function exists

Source: Indonesia National Science Olympiad D2 P2

September 5, 2012
functionalgebra proposedalgebra

Problem Statement

Let R+\mathbb{R}^+ be the set of all positive real numbers. Show that there is no function f:R+→R+f:\mathbb{R}^+ \to \mathbb{R}^+ satisfying f(x+y)=f(x)+f(y)+12012f(x+y)=f(x)+f(y)+\dfrac{1}{2012} for all positive real numbers xx and yy.
Proposer: Fajar Yuliawan
Back to ProblemsView on AoPS