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

Question

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

Answer 1

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