MathDB

4

Part of 1977 Bundeswettbewerb Mathematik

Problems(1)

All functions f with f(x)+f(1- 1/x)=x

Source:

6/5/2007
Find all functions f:R→Rf : \mathbb R \to \mathbb R such that f(x)+f(1−1x)=x,f(x)+f\left(1-\frac{1}{x}\right)=x, holds for all real xx.
algebra unsolvedalgebra