If 2 f (x – 1) – f ( 1-x x ) = x, then f (x) is :

Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions

1. \(\frac{1}{3}\left[2(1+x)+\frac{1}{1+x}\right]\)
2. \(2(x-1)-\frac{1-x}{x}\)
3. \(x^{2}+\frac{1}{x^{2}}+3\)
4. None of these

Answer

(A) 1 3 [2(1+x)+ 1 1+x ]

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