The question is as follows, let c=f(A) be the cost in dollars, of building a store of area A square feet. In terms of cost and square feet what do the following quantities represent?

(A) f(10,000)
(B) f^-1 (20,000)

I am pretty sure the answerfor A is C=10,000 and for part B it is f^-1(A)= 20,000

1 answer

In Question A, f(20,000) is the cost (in dollars) of building a store of 20,000 square feet.

In question (B), f^-1(20,000) is the square feet of area that you can build at a cost of $20,000. The independent variable of the inverse function f^-1(C) is the cost.