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If f(x)=(2^(x)-2^(-x))/(2^(x)+2^(-x)),"t...

If `f(x)=(2^(x)-2^(-x))/(2^(x)+2^(-x)),"then"f^(-1)(x)` is :

A

`(1)/(2)log_(2)""(x)/(1-x)`

B

`(1)/(2)log_(2)""(1+x)/(1-x)`

C

`(1)/(2)log_(2)""(1+x)/(x)`

D

`(1)/(2)log_(2)""(2+x)/(2-x)`

Text Solution

Verified by Experts

The correct Answer is:
B
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