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The inverse of the function f(x)=(10^(x)...

The inverse of the function `f(x)=(10^(x)-10^(-x))/(10^(x)+10^(-x))` is -

A

`f^(-1)(x) =log _(10) (2-x)`

B

`f^(-1) (x) 1/2 log _(10) (2x-1)`

C

`f^(-1) (x) =1/2 log _(10) ""(1+x)/(1-x)`

D

`f ^(-1) (x) =1/4 log _(10) ""(2x)/(2-x)`

Text Solution

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The correct Answer is:
C
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