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)] =

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)] =

Question
Composite functions
asked 2021-01-16
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)] =

Answers (1)

2021-01-17
(a). Write the composite function for the dealer taking the rebate first and then discount.
d[r(p)]=d[p-1300]
=0.85(p-1300)
=0.85p-1105
(b). Write the composite function for the dealer taking the discount first and then the rebate
r[d(p)]=r[0.85p]
=0.85p-1300
0

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