If f(x)=(e^(x)+e^(-x))/(2) then the inve...

If `f(x)=(e^(x)+e^(-x))/(2)` then the inverse of `f(x)` is

A

`log_(e)(x + sqrt(x^(2)+1))`

B

`log_(e)sqrt(x^(2)+1)`

C

`log_(e)(x + sqrt(x^(2)-1))`

D

`log_(e) ( x-sqrt(x^(2)-1))`

Verified by Experts

The correct Answer is:

C

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