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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 sqrt(1+4log_2x)` (C) `1/2(1-sqrt(1+4log_2x))` (D) not defined

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

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Verified by Experts

The correct Answer is:
B
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