MathDB

find all functions

Source: Ireland 2002

July 5, 2009

functionalgebrafunctional equationalgebra unsolved

Problem Statement

Find all functions

f: \mathbb{Q} \rightarrow \mathbb{Q}

such that: f(x\plus{}f(y))\equal{}y\plus{}f(x) for all

x,y \in \mathbb{Q}