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

The inverse of the function of `f:R to 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

not defined

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The correct Answer is:
B
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