The inverse of the function f(x)= a^ x -a^ -x a^ x +a^ -x is (where codomain of f(x) is…

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

The inverse of the function \(f(x)=\frac{a^{x}-a^{-x}}{a^{x}+a^{-x}}\) is
(where codomain of f(x) is (–1, 1))
  1. \(\frac{1}{2} \log _{a}\left(\frac{1+x}{1-x}\right)\)
  2. \(\log _{a}\left(\frac{1+x}{1-x}\right)\)
  3. none of these

Answer

(B) 1 2 _ a ( 1+x 1-x )

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