Find Inverse Function of y=xSqrt(-2x): Solution Here

AI Thread Summary
To find the inverse function of y = x√(-2x) for x < 0, the process involves treating it as an equation to solve for y. The key step is to rearrange the equation to x = y√(-2y) and then square both sides to eliminate the square root. This leads to a cubic equation that can be solved for y. The discussion highlights the challenges faced in transposing the equation correctly and emphasizes that persistence can lead to a solution. Ultimately, the inverse function can be determined with careful manipulation and effort.
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how do I find the inverse function of y=xSqrt -2X

I have tried transposing it 6 times now but my results don't give the right answer for a 1:1 function for x<0
 
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I assume you mean to find the inverse function for f(x)= x\sqrt{-2x}[/tex] for x&lt; 0. Finding an inverse function is exactly the same a solving an equation. The point of &quot;inverse&quot; is that if y= f(x)= x\sqrt{-2x}, then x= y\sqrt{-2y}. Solve that equation for y. (You will need to square both sides and eventually solve a cubic equation.)
 
No that's not what I meant but not to worry i found the solution with touch more effort.
 

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