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determine the equation for the inverse function of y=(x+3)^3+9

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1 Answer

Hi Allyson,
 
As it sounds the inverse function essentially does the reverse of another function.
 
So you want to rearrange this expression to solve for x.
 
y=(x+3)3+9
 
(y-9) = (x+3)3
 
(y-9)1/3 = (x+3)3(1/3)
 
(y-9)1/3 = (x+3)
 
(y-9)1/3 - 3 = x
 
so x = (y-9)1/3 - 3   is the inverse function here