MathDB

a,b,c just isn't cool enough

Source: Romanian MO 2002

December 8, 2010

functionalgebra proposedalgebra

Problem Statement

Given real numbers

a,c,d

show that there exists at most one function

f:\mathbb{R}\rightarrow\mathbb{R}

which satisfies: f(ax+c)+d\le x\le f(x+d)+c \text{for any}\ x\in\mathbb{R}