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

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

Text Solution

Verified by Experts

The correct Answer is:
C
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