Question

The function x(A) = can be used to determine the side length, x, of a cube given the surface area of the cube, A. The function V(x) = x can be used to find the volume of a cube. How can these functions be combined?

A) x(VA)

B) V(x(A))

C) V(x(A))

D) x(VA)

Answer 1

The functions x(A) and V(x) can be combined by function composition. The combined function is V(x(A)).

Step-by-step explanation:

The functions x(A) and V(x) can be combined by using function composition. In function composition, the output of one function is used as the input of another function.

In this case, we want to find the volume of a cube given the surface area. We can use the function x(A) to find the side length of the cube, and then plug that value into the function V(x) to find the volume. Therefore, the combined function is V(x(A)), which is option B.