MathDB
SMO 2007 open q4

Source: SMO 2007 open

March 31, 2018
algebrafunctional equation

Problem Statement

find all functions f:NNf:\mathbb{N}\rightarrow\mathbb{N} st
f(f(m)+f(n))=m+nm,nNf(f(m)+f(n))=m+n \,\forall m,n\in\mathbb{N}
related: https://artofproblemsolving.com/community/c6h381298