Felix gets paid $5.25 per hour for being a waiter at a local restaurant. His boss also pays him $6 ar hour to clean tables while he is working. He works a total of 20 hours each week. This situation can be modeled using the following functions: Let x represent the number of hours that Felix works each week as a waiter. Let c represent the number of hours that Felix works cleaning tables. 1. Based on the context given, what does each function represent? h(x) = 5. 25x f(x) = 20 – x g(c) = 6c %3D %3D %3D 2. Find g(f(x)). What does this composite function represent?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.6: Combinations Of Functions: Composite Functions
Problem 60E: Let dt be the number of dogs in the United States in year t, and let ct be the number of cats in the...
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inn
(ay.T
Felix gets paid $5.25 per hour for being a waiter at a local restaurant. His boss also pays him $6 an
hour to clean tables while he is working. He works a total of 20 hours each week.
This situation can be modeled using the following functions:
Let x represent the number of hours that Felix works each week as a waiter.
Let c represent the number of hours that Felix works cleaning tables.
1. Based on the context given, what does each function represent?
h(x)
f(x)
g(c) = 6c
= 5. 25x
= 20 – x
2. Find g(f(x)). What does this composite function represent?
64°F Cloudy
DELL
Transcribed Image Text:inn (ay.T Felix gets paid $5.25 per hour for being a waiter at a local restaurant. His boss also pays him $6 an hour to clean tables while he is working. He works a total of 20 hours each week. This situation can be modeled using the following functions: Let x represent the number of hours that Felix works each week as a waiter. Let c represent the number of hours that Felix works cleaning tables. 1. Based on the context given, what does each function represent? h(x) f(x) g(c) = 6c = 5. 25x = 20 – x 2. Find g(f(x)). What does this composite function represent? 64°F Cloudy DELL
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