MathDB

3

Part of 1994 Italy TST

Problems(1)

f(x- f(y)) = 1+x-y

Source: Italy TST 1994 p3

2/17/2020
Find all functions f:R→Rf : R \to R satisfying the condition f(x−f(y))=1+x−yf(x- f(y)) = 1+x-y for all x,y∈Rx,y \in R.
functional equationfunctionalalgebra