If f(x)= 2 x-1 x+5 (x -5) then f^ -1 (x) is equal to :

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

If \(f(x)=\frac{2 x-1}{x+5}(x \neq-5)\)then \(f^{-1}(x)\) is equal to :
  1. \(\frac{x+5}{2 x-1}, x \neq \frac{1}{2}\)
  2. \(\frac{5 x+1}{2-2 x}, x \neq 2\)
  3. \(\frac{x-5}{2 x+1}, x \neq \frac{1}{2}\)
  4. \(\frac{5 x+1}{2-x}, x \neq 2\)

Answer

(D) 5 x+1 2-x , x 2

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