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The inverse of f(x)=(10^(x)-10^(-x))/(10...

The inverse of `f(x)=(10^(x)-10^(-x))/(10^(x)+10^(-x))` is
`A).` `(1)/(2)log_(10)((1+x)/(1-x))`,
`B).` `log_(10)(2-x)`,
`C).` `(1)/(2)log_(10)(2-1)`,
`D).``(1)/(4)log_(10)((2x)/(2-x))`

A

`(1)/(3)"log"_(10)(1+x)/(1-x)`

B

`(1)/(2)"log"_(10)(2+3x)/(2-3x)`

C

`(1)/(3)"log"_(10) (2+3x)/(2-3x)`

D

`(1)/(6) "log"_(10) (2-3x)/(2+3x)`

Text Solution

Verified by Experts

The correct Answer is:
B
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