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Easy functional equation

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May 17, 2004
functionFunctional EquationsClosed FormulaGermanyTeam Selection TestTST2004

Problem Statement

A function ff satisfies the equation f(x)+f(1−1x)=1+xf\left(x\right)+f\left(1-\frac{1}{x}\right)=1+x for every real number xx except for x=0x = 0 and x=1x = 1. Find a closed formula for ff.
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