If f[1, oo)rarr[1, oo) is defined by f(x...

If `f[1, oo)rarr[1, oo)` is defined by `f(x)=2^(x(x-1))` then `f^(-1)(x)=`

A

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

B

`1/2 (1+ sqrt(1+4 log_(2)x))`

C

`1/2 (1-sqrt(1+4log_(2)x))`

D

`1/2 (1 pm sqrt(1+4 log_(2)x))`

Verified by Experts

The correct Answer is:

B

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