The inverse of the function is given by

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

Problem

The inverse of the function f(x)=ex−e−xex+e−x+2f(x)=\frac{e^x-e^{-x}}{e^x+e^{-x}}+2 is given by (a) log⁡e(x−2x−1)1/2\log_e\left(\frac{x-2}{x-1}\right)^{1/2} (b) log⁡e(x−13−x)1/2\log_e\left(\frac{x-1}{3-x}\right)^{1/2} (c) log⁡e(x2−x)1/2\log_e\left(\frac{x}{2-x}\right)^{1/2} (d) log⁡e(x−1x+1)−2\log_e\left(\frac{x-1}{x+1}\right)^{-2}

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