Sales A car dealer offers a 10$\%$ discount off the list price $x$ for any car on the lot. At the same time, the manufacturer offers a $\$ 2000$ rebate for each purchase of a car.
a. Write a function $f(x)$ to represent the price after the discount.
b. Write a function $g(x)$ to represent the price after the $\$ 2000$ 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 a car is $\$ 18,000$ . Use a composite function to find the price of the car if the rebate is applied before the discount.