Math Due 01/31/2015 at 3pm

Question 4

You are buying a car whose price is $22,500. Option 1: You are given a factory rebate of $2000, followed by a dealer discount

of 10%. Option 2: 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 a. Which option is represented by the composite f(g(x))? Show work. b. Which option is represented by the composite g(f(x)) ? Show work. c. Which option will you choose? Explain.

Question 5

Please explain the meaning (not how to find) of f(2). Mathematically speaking,

when you find the answer to f(2), what exactly have you found?