Let f( x )= x x +1 , x -1 . Then, for what value of II is f(f(x))=x ?
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
Let \(f(\mathbf{x})=\frac{\mathbf{\pi x}}{\mathbf{x}+1}, \mathbf{x} \neq-1\) . Then, for what value of \(\text { II }\) is \(f(f(x))=x\)?
- \(\sqrt{2}\)
- \(-\sqrt{2}\)
- 1
- -1
Answer
(D) -1
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