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

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

Explanation: