Question

The surface area of a cube is S(x) = 6x?, where x is the length of the side of each edge of a cube, Restrict the domain to create a one-to-one
function. Find and describe the inverse function.

Answer 1

Answer:

Restrict values of  x  to .  Then the surface area function is one-to-one and has an inverse.

Write  y  instead of S(x).  Interchange  x  and  y, then solve for  y.

This function could be used to find the edge of a cube with a given surface area.  For example, if the area is  x = 54, then the edge is

Step-by-step explanation: