You have a $20 coupon from the manufacturer that is good for the purchase of a cell phone. The store where you are purchasing your cell phone is offering a 40% discount on all phones. Let x represent the regular price of the phone. (a) Suppose only the 40% discount applies. Find a function f that models the purchase price of the cell phone as a function of the regular price x. ((x ) = (b) Suppose only the $20 coupon applies. Find a function g that models the purchase price of the cell phone as a function of the full price x. 9(x) = 4 (c) If you can use the coupon and the discount, then the purchase price is either (fo g)(x) or (go f)(x), depending on the order in which they are applied to the price, Find both (fo g)(x) and (g o f)(x). (fo g)(x) = (go f) (x) = Which composition gives the lower price? O Applying the coupon followed by the discount gives the lower price. O Applying the discount followed by the coupon gives the lower price