SOLUTION: Determine the equation for the inverse funtion of y=(x-7)cubed-6

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Question 675423: Determine the equation for the inverse funtion of y=(x-7)cubed-6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Swap x and y. Then solve for y

y+=+%28x-7%29%5E3-6

x+=+%28y-7%29%5E3-6

x%2B6+=+%28y-7%29%5E3

root%283%2Cx%2B6%29+=+y-7

root%283%2Cx%2B6%29%2B7+=+y

y=root%283%2Cx%2B6%29%2B7

So the inverse function is y=root%283%2Cx%2B6%29%2B7 which can also be written as