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 "35% off" coupon. Which of the following correctly represents the fact that the cost of purchasing $400 worth of goods is $240 when the "35% off" coupon is applied first followed by the "$20 off" coupon? g(f(400))=240 f(f−1(400))=240 f(g(240))=400 f(g(400))=240

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 35% 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 "35% off" coupon.

Which of the following correctly represents the fact that the cost of purchasing $400 worth of goods is $240 when the "35% off" coupon is applied first followed by the "$20 off" coupon?

  • g(f(400))=240
  • f(f−1(400))=240
  • f(g(240))=400
  • f(g(400))=240
  • g(f(240))=400
 

 

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