Find the inverse of the function:`f:(-oo,1]vec[1/2,oo],w h e r ef(x)=2 – InterviewSolution

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1.	Find the inverse of the function:`f:(-oo,1]vec[1/2,oo],w h e r ef(x)=2^(x(x-2))`
Answer» Correct Answer - `f^(-1)(x)=1-sqrt(1+log_(2)x)` `y=2^(x(x-2))` or ` x^(2)-2x=log_(2)y` or ` x^(2)-2x-log_(2)y=0` or `x=1+-sqrt(1+log_(2)y)` or `f^(-1)(x)=1-sqrt(1+log_(2)x)` as `f^(-1):[(1)/(2),oo) to (-oo,1]`

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