Multiple Discounts An appliance dealer advertises a 10% discount on all his washing machines. In addition, the manufacturer offers a $100 rebate on the purchase of a washing machine. Let x represent the sticker price of the washing machine. (a) Suppose only the 10% discount applies. Find a function f that models the purchase price of the washer as a func- tion of the sticker price x. (b) Suppose only the $100 rebate applies. Find a function g that models the purchase price of the washer as a func- tion of the sticker price x. (c) Find fo g and go f. What do these functions represent? Which is the better deal?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.7: Combining Functions
Problem 81E
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Multiple Discounts An appliance dealer advertises a
10% discount on all his washing machines. In addition, the
manufacturer offers a $100 rebate on the purchase of a
washing machine. Let x represent the sticker price of the
washing machine.
(a) Suppose only the 10% discount applies. Find a function
f that models the purchase price of the washer as a func-
tion of the sticker price x.
(b) Suppose only the $100 rebate applies. Find a function g
that models the purchase price of the washer as a func-
tion of the sticker price x.
(c) Find fo g and go f. What do these functions represent?
Which is the better deal?
Transcribed Image Text:Multiple Discounts An appliance dealer advertises a 10% discount on all his washing machines. In addition, the manufacturer offers a $100 rebate on the purchase of a washing machine. Let x represent the sticker price of the washing machine. (a) Suppose only the 10% discount applies. Find a function f that models the purchase price of the washer as a func- tion of the sticker price x. (b) Suppose only the $100 rebate applies. Find a function g that models the purchase price of the washer as a func- tion of the sticker price x. (c) Find fo g and go f. What do these functions represent? Which is the better deal?
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