Consider f(x) = x + 5 and g(x) = 1 x² - 4 • You must combine all like terms before you submit your answer. • You must expand all products before your submit your answer. a. Simplify: (fog)(x) b. What is the domain of (fog)(x)? c. Simplify: (gof)(x) = d. What is the domain of (gof)(x)?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.2: The Rectangular Coordinate System And Graphing Lines
Problem 113E
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Consider f(x) = x + 5 and g(x)
=
1
x² - 4
• You must combine all like terms before you submit
your answer.
• You must expand all products before your submit
your answer.
a. Simplify: (fog)(x)
b. What is the domain of (fog)(x)?
c. Simplify: (gof)(x) =
d. What is the domain of (gof)(x)?
Transcribed Image Text:Consider f(x) = x + 5 and g(x) = 1 x² - 4 • You must combine all like terms before you submit your answer. • You must expand all products before your submit your answer. a. Simplify: (fog)(x) b. What is the domain of (fog)(x)? c. Simplify: (gof)(x) = d. What is the domain of (gof)(x)?
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