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

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

If f (x) = \(\frac{x-1}{x+1}\), then f (2x) is :
  1. \(\frac{f(\mathrm{x})+1}{f(\mathrm{x})+3}\)
  2. \(\frac{3 f(\mathrm{x})+1}{f(\mathrm{x})+3}\)
  3. \(\frac{f(\mathrm{x})+3}{f(\mathrm{x})+1}\)
  4. \(\frac{f(\mathrm{x})+3}{3 f(\mathrm{x})+1}\)

Answer

(B) 3 f( x )+1 f( x )+3

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