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Advanced MathQ&A LibraryYou have a $40 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 cell phones. Let xrepresent the regular price of the cell 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. (b) Suppose only the $40 coupon applies. Find a function g that models the purchase price of the cell phone as a function of the sticker price x. (c) If you can use the coupon and the discount, then the purchase price is either(f ∘ g)(x)or g ∘ f)(x), depending on the order in which they are applied to the price. Find both (f ∘ g)(x) and (g ∘ f)(x).Start your trial now! First week only $4.99!*arrow_forward*

Question

You have a $40 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 cell phones. Let *x*represent the regular price of the cell 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*.

(b) Suppose only the $40 coupon applies. Find a function *g* that models the purchase price of the cell phone as a function of the sticker price *x*.

(c) If you can use the coupon and the discount, then the purchase price is either(f ∘ g)(x)or g ∘ f)(x), depending on the order in which they are applied to the price. Find both (f ∘ g)(x) and (g ∘ f)(x).

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