A store has two different coupons that customers can use. One coupon gives the customer $20 off their purchase, and the other coupon gives the customer 30% off of their purchase. Suppose they let a customer use both coupons and choose which coupon gets applied first. For this context, ignore sales tax. Let f be the function that inputs a cost (in dollars) and outputs the cost after applying the "$20 off" coupon, and let g be the function that inputs a cost (in dollars) and outputs the cost after applying the "30% off" coupon. Which of the following correctly represents the fact that the cost of purchasing $420 worth of goods is $274 when the "30% off" coupon is applied first followed by the "$20 off" coupon? Of(9(274)) = 420 Of(9(420)) = 274 Og(f(420)) = 274 of(f(420)) = 274 g(f(274)) = 420

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A store has two different coupons that customers can use. One coupon gives the customer $20 off their purchase, and the other coupon gives the
customer 30% off of their purchase. Suppose they let a customer use both coupons and choose which coupon gets applied first. For this context,
ignore sales tax.
Let f be the function that inputs a cost (in dollars) and outputs the cost after applying the "$20 off" coupon, and let g be the function that inputs a
cost (in dollars) and outputs the cost after applying the "30% off" coupon.
Which of the following correctly represents the fact that the cost of purchasing $420 worth of goods is $274 when the "30% off" coupon is applied
first followed by the "$20 off" coupon?
O f(g(274))
= 420
Of(9(420)) = 274
Og(f(420)) = 274
Of(f-'(420)) = 274
Og(f(274)) = 420
Transcribed Image Text:A store has two different coupons that customers can use. One coupon gives the customer $20 off their purchase, and the other coupon gives the customer 30% off of their purchase. Suppose they let a customer use both coupons and choose which coupon gets applied first. For this context, ignore sales tax. Let f be the function that inputs a cost (in dollars) and outputs the cost after applying the "$20 off" coupon, and let g be the function that inputs a cost (in dollars) and outputs the cost after applying the "30% off" coupon. Which of the following correctly represents the fact that the cost of purchasing $420 worth of goods is $274 when the "30% off" coupon is applied first followed by the "$20 off" coupon? O f(g(274)) = 420 Of(9(420)) = 274 Og(f(420)) = 274 Of(f-'(420)) = 274 Og(f(274)) = 420
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