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

Source: Italy TST 1994 p3

February 17, 2020
functional equationfunctionalalgebra

Problem Statement

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.
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