MathDB

Function

Source: Romania NMO 2008, 9 form, Problem 1

April 30, 2008

functioninductionalgebra proposedalgebra

Problem Statement

Find functions

f: \mathbb{N} \rightarrow \mathbb{N}

, such that f(x^2 \plus{} f(y)) \equal{} xf(x) \plus{} y, for

x,y \in \mathbb{N}