MathDB

VMO 2016 Problem 5

Source: VMO 2016

May 6, 2016

algebrafunctional equationfunction

Problem Statement

Find all

a\in\mathbb{R}

such that there is function

f:\mathbb{R}\to\mathbb{R}

f(1)=2016

ii) f(x+y+f(y))=f(x)+ay \forall x,y\in\mathbb{R}