You are buying a car whose price is $22,500. Which of the following options will you choose? Explain.

a. You are given a factory rebate of $2000, followed by a dealer discount of 10%.

b. You are given a dealer discount of 10%, followed by a factory rebate of $2000.

Let f(x) = x-2000 and let g(x) = .9x Which option is represented by the composite f(g(x))? Which option is represented by the composite g(f(x)) ?