A car dealership offers a $1300 rebate and a 15% 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 − 1300  and  d(p) = 0.85p. (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)] =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 11CYU
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A car dealership offers a $1300 rebate and a 15% 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 − 1300

 and 

d(p) = 0.85p.
(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)] = 
 
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