If the function f:[1, infty) rarr [1, in...

If the function `f:[1, infty) rarr [1, infty)` is defined by `f(x)=2^(x(x-1))`, then find `f^(-1)(x)`.

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The correct Answer is:

`f^(-1)(x)=(1+sqrt(1+4log_(2)x))/2, x gt 0`

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