Which of the following equations is the inverse of the function y = 2x^3?

Question

A.  y^-1 = x^3/2

B.  y^-1 = 3√x/2

C. y^-1 = 3√2x

D. y^-1 = (x/2)^3

Answer 1

 

First switch X and Y

 

x = 2*y^3

 

Then solves for y:

 

x/2 = y^3  <---- divides both sides by 2

 

cube root (x/2) = y  <--- cube root of both sides

 

answer B