If f(x)= x|x| 1+x^ 2 , then f^ -1 (x) equals
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
\(\text { If } f(x)=\frac{x|x|}{1+x^{2}} \text {, then } f^{-1}(x) \text { equals }\)
- \(\sqrt{\frac{|\mathbf{x}|}{1-|\mathbf{x}|}}\)
- \((\sin x) \sqrt{\frac{|x|}{1-|x|}}\)
- \(\sqrt{\frac{\mathbf{x}}{1-\mathbf{x}}}\)
- None of these
Answer
(A) | x | 1-| x |
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