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The inverse of the function f: R rarr R ...

The inverse of the function `f: R rarr R` given by `f(x) = `log_{a}(x+sqrt(x^2+1)(a gt 0, a ne 1)` is

A

`1/2(a^x+a^-x)`

B

`1/2(a^x-a^-x)`

C

`1/2((a^x+a^-x)/(a^x-a^-x))`

D

`1/2((a^x-a^-x)/(a^x+a^-x))`

Text Solution

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The correct Answer is:
B
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