Question

If V(x) represents the volume of water, in cubic inches, in a tank when the height of the water is x inches, give a practical interpretation of V^−1(13).

A) The volume of the water in the tank is 13 cubic inches.

B) The height of the water in the tank, in inches, when the volume is 13 cubic inches.

C) The volume of the water in the tank, in cubic inches, when the height is 13 inches.

D) The height of the water in the tank is 13 inches.

E) The volume of the water in the tank, in cubic inches, after 13 minutes.

Answer 1

\(V\) : Domain = height , Range = volume
\(V^-1\) :Domain = volume, Range = height
so the input 13 is the volume and the output \(V^{-1}(13) = \) height of water when the volume is 13