A car dealer offers a 15% discount off the list price x of any car on the lot. At
the same time the manufacturer offers a $1000 rebate for each purchase of
a car.
a. Write a function f(x) to represent the price after discount.
b. Write a function g(x) to represent the price after the $1000 rebate.
c. Suppose the list price of a car is $18,000. Use a composite function to
find the price of the car if the discount is applied before the rebate.
d. Suppose the list price of the car is $18,000. Use a composite function to
find the price of the car if the discount is applied after the rebate.
e. Find the difference between the two compositions.