inverse functions college algebra problem

Question

Let p be the price of an item and q be the number of items sold at that price, where q= f (p). What do the following quantities mean in terms of price and quantities sold?

 

1) f(30) is the

A. rate at which the price is changing when 30 items are sold.

B. revenue generated by the sale of 30 items.

C. average price of the first 30 items sold.

D. price for which 30 items are sold

E. median number of items sold if the price is no more than 30.

F. rate at which items are sold when the price is 30.

G. number of items sold when the price is 30.

2) f^-1(25) is the

A. revenue generated by the sale of 25 items.

B. number of the first 25 items that are returned for refund.

C. rate at which the price is changing when 25 items are sold.

D. price at which 25 items will be sold.

E. average price of the first 25 items sold.

F. rate at which items are sold when the price is 25.

G. number of items sold when the price is 25.

Answer 1

Answers are G for part 1

and D for part 2

f(x) gives you the price for a given quantity sold

the inverse function does the reverse