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Question

Let $f:\mathbb{R}-{0,1}\to \mathbb{R}$ be a function such that $f(x)+f\left(\frac{1}{1-x}\right)=1+x$. Then $f(2)$ is equal to

$\frac{9}{4}$
$\frac{7}{4}$
$\frac{7}{3}$
$\frac{9}{2}$

Solution

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