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If the function f:[1,oo)to[1,oo) is defi...

If the function `f:[1,oo)to[1,oo)` is defined by `f(x)=2^(x(x-1))` then `f^(-1)` is

A

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

B

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

C

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

D

None of these

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Verified by Experts

The correct Answer is:
B
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