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R rarr R be defined by f(x)=((e^(2x)-e^(...

`R rarr R` be defined by `f(x)=((e^(2x)-e^(-2x)))/2`. is `f(x)` invertible. If yes then find `f^(-1)(x)`

A

f is many - one

B

f is into

C

`f^(-1)(x)=(1)/(2)[log(x-sqrt(x^(2)+1))]`

D

`f^(-1)(x)=(1)/(2)[log(x+sqrt(x^(2)+1))]`

Text Solution

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The correct Answer is:
D
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