Mathematics, 18.07.2019 18:30 pdipti725
Let $f(x)$ be the real-valued function defined for all real $x$ except for $x = 0$ and $x = 1$ and satisfying the functional equation \[f(x) + f\left(\frac{x-1}x\right) = 1+x.\]find the $f(x)$ satisfying these conditions. write $f(x)$ as a rational function with expanded polynomials in the numerator and denominator.
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