A car dealership offers a $1800 rebate and a 14% discount off the price of a new car. Let p be the sticker price of a new car on the dealer's lot, r the price after the rebate, and d the discounted price. Then  r(p) = p − 1800  and  d(p) = 0.86p. (a) Write a composite function for the dealer taking the rebate first and then the discount. d[r(p)] =     (b) Write a composite function for the dealer taking the discount first and then the rebate. r[d(p)] =     (c) Which composite function would you prefer the dealer to use when you buy a new car? The dealer takes the discount first and then the rebate.The dealer takes the rebate first and then the discount.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 28PPS
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A car dealership offers a $1800 rebate and a 14% discount off the price of a new car. Let p be the sticker price of a new car on the dealer's lot, r the price after the rebate, and d the discounted price. Then 

r(p) = p − 1800

 and 

d(p) = 0.86p.
(a) Write a composite function for the dealer taking the rebate first and then the discount.
d[r(p)] =
 
 


(b) Write a composite function for the dealer taking the discount first and then the rebate.
r[d(p)] =
 
 


(c) Which composite function would you prefer the dealer to use when you buy a new car?
The dealer takes the discount first and then the rebate.The dealer takes the rebate first and then the discount.    

 

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