The regular price of a computer is x dollars. Let fx) = x – 400 and g(x) = 0.75x. %3D a. Describe what the functions f and g model in terms of the price of the computer. b. Find (fo g)(x) and describe what this models in terms of the price of the computer. c. Repeat part (b) for (g • f)(x). d. Which composite function models the greater discount on the computer, f°g or g o f? Explain.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
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The regular price of a computer is x dollars. Let
fx) = x – 400 and g(x) = 0.75x.
%3D
a. Describe what the functions f and g model in terms of
the price of the computer.
b. Find (fo g)(x) and describe what this models in terms of
the price of the computer.
c. Repeat part (b) for (g • f)(x).
d. Which composite function models the greater discount
on the computer, f°g or g o f? Explain.
Transcribed Image Text:The regular price of a computer is x dollars. Let fx) = x – 400 and g(x) = 0.75x. %3D a. Describe what the functions f and g model in terms of the price of the computer. b. Find (fo g)(x) and describe what this models in terms of the price of the computer. c. Repeat part (b) for (g • f)(x). d. Which composite function models the greater discount on the computer, f°g or g o f? Explain.
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