For the given function, determine the domain of the inverse function. Then find an equation for the inverse function, and graph it. Interpret the meaning of the inverse function.

The label on a gallon of paint says that it will cover from 250 square feet to 450 square feet depending on the surface that is being painted. A painter has 12 gallons of paint on hand. The equation A = 12c gives the area A (in square feet) that the 12 gallons of paint will cover if applied at a coverage rate c (in square feet per gallon).

The domain of the inverse function is A | ? ≤ A ≤ ?
The inverse function is c = ?