Discounts The manufacturer of a computer is offering two discounts on last year's model computer. The first discount is a $200 rebate and the second discount is 20% off the regular price, p. (a) Write a function f that represents the sale price if only the rebate applies. (b) Write a function g that represents the sale price if only the 20% discount applies. (c) Find f g and g f. What does each of these functions represent? Which combination of discounts represents a better deal for the consumer? Why?

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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Discounts The manufacturer of a computer is offering two
discounts on last year's model computer. The first discount is
a $200 rebate and the second discount is 20% off the regular
price, p.
(a) Write a function f that represents the sale price if only
the rebate applies.
(b) Write a function g that represents the sale price if only
the 20% discount applies.
(c) Find f g and g f. What does each of these functions
represent? Which combination of discounts represents a
better deal for the consumer? Why?
Transcribed Image Text:Discounts The manufacturer of a computer is offering two discounts on last year's model computer. The first discount is a $200 rebate and the second discount is 20% off the regular price, p. (a) Write a function f that represents the sale price if only the rebate applies. (b) Write a function g that represents the sale price if only the 20% discount applies. (c) Find f g and g f. What does each of these functions represent? Which combination of discounts represents a better deal for the consumer? Why?
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