Please help me solve this question 51 The inverse of the function fx=ex-e-xex+e-x+2 (a) 12logx-2x-1 (b) 12logx-13-x (c) - Maths - Relations and Functions

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51 The inverse of the function f x = e x - e - x e x + e - x +
2
(a) 1 2 log x - 2 x - 1
(b) 1 2 log x - 1 3 - x
(c) 1 2 log x 2 - x
(d) - 2   log x - 1 1 + x

Abhishek Kumar · Accepted Answer

Please help me solve this question 51. The inverse of the function f x = e x - e - x e x + e - x + 2 (a) 1 2 log x - 2 x - 1 (b) 1 2 log x - 1 3 - x (c) 1 2 log x 2 - x (d) - 2 log x - 1 1 + x

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51. The inverse of the function $f (x) = \frac{e^{x} - e^{- x}}{e^{x} + e^{- x}} + 2$
(a) $\frac{1}{2} \log (\frac{x - 2}{x - 1})$
(b) $\frac{1}{2} \log (\frac{x - 1}{3 - x})$
(c) $\frac{1}{2} \log (\frac{x}{2 - x})$
(d) $- 2 \log (\frac{x - 1}{1 + x})$