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KöMaL 2017 B4917

    Determine all functions f ⁣:(R∖{0,1})→Rf \colon \big(\mathbb{R} \setminus \{0,1\}\big)\to \mathbb{R} for which f(x−1x)+f(11−x)=4−2x.f\left(\frac{x-1}{x}\right)+f\left(\frac{1}{1-x}\right)=4-\frac2x.

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