If , then is equal…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

If f(x)=x1+xf(x)=\frac{x}{1+x}, then f−1(x)f^{-1}(x) is equal to (a) 1+xx\frac{1+x}{x} (b) 11+x\frac{1}{1+x} (c) 1+x1−x\frac{1+x}{1-x} (d) x1−x\frac{x}{1-x}

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