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JEE Math Practice 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

  1. A.$$\frac{9}{4}$$
  2. B.$$\frac{7}{4}$$
  3. C.$$\frac{7}{3}$$
  4. D.$$\frac{9}{2}$$

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