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 Exams — Sets, 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))
(where codomain of f(x) is (–1, 1))

- \(\frac{1}{2} \log _{a}\left(\frac{1+x}{1-x}\right)\)
- \(\log _{a}\left(\frac{1+x}{1-x}\right)\)
- none of these
Answer
(B) 1 2 _ a ( 1+x 1-x )
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