A store has two different coupons that customers can use. One coupon gives the customer $30 off their purchase, and the other coupon gives the customer 40% 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 "$30 off" coupon, and let g be the function that inputs a cost (in dollars) and outputs the cost after applying the "40% off" coupon. Which of the following correctly represents the fact that the cost of purchasing $190 worth of goods is $84 when the "40% off" coupon is applied first followed by the "$30 off" coupon? g(f(84))=190 f(g(190))=84 g(f(190))=84 f(g(84))=190 f(f−1(190))=84
A store has two different coupons that customers can use. One coupon gives the customer $30 off their purchase, and the other coupon gives the customer 40% 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 "$30 off" coupon, and let g be the function that inputs a cost (in dollars) and outputs the cost after applying the "40% off" coupon.
Which of the following correctly represents the fact that the cost of purchasing $190 worth of goods is $84 when the "40% off" coupon is applied first followed by the "$30 off" coupon?
- g(f(84))=190
- f(g(190))=84
- g(f(190))=84
- f(g(84))=190
- f(f−1(190))=84
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