What's the inverse function of g(x)=-2(x-3)^3

Question

Find the inverse function. 

Answer 1

Let y = g(x):

 

    y = -2(x-3)³

 

Switch x and y:

 

   x = -2(y-3)³

 

Solve for y:

 

   -x/2 = (y-3)³

 

   ³√(-x/2) = y - 3

 

   y = ³√(-x/2) + 3

 

g^-1(x) = ³√(-x/2) + 3