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If the function f:[1,oo)->[1,oo) is def...

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

A

`((1)/(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

Not defined

Text Solution

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The correct Answer is:
B
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