Let f(x) =1+2sin(e^x/(e^x+1)) x ge 0 the...

Let `f(x) =1+2sin(e^x/(e^x+1))` `x ge 0` then `f^(-1)(x) ` is equal to (assuming f is bijectve)

A

`log ((sin^(-1)((x-1)/2))/(1 - sin^(-1) (( x-1)/2))) `

B

`log ((sin (( x-1)/2))/(1- sin((x-1)/2)))`

C

`e^((sin^(-1).((x-1)/2))/(1-sin^(-1)((x-1)/2)))`

D

`e^((sin((x-1)/2))/(1-sin ((x-1)/2)))`

Verified by Experts

The correct Answer is:

A

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