MathDB

Putnam 1996 A6

Source:

June 4, 2014

Putnamfunctioncollege contests

Problem Statement

Let

c\ge 0

be a real number. Give a complete description with proof of the set of all continuous functions

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

such that

f(x)=f(x^2+c)

for all

x\in \mathbb{R}