Answer: (fog)(x) = x² - 6x +10 Exercise: Given the functions f(x) = x² +1 and g(x) = x - 3. find (gof)(x). y your work in the box below using the Graphical equation editor. 2

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.2: Polynomial Functions Of Higher Degree
Problem 3ECP
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JULUI real numbers x in the domain of g such that g(x) is in the domain off.
g, denoted fo g, is defined by (fog)(x)=f(g(x)). The domain of f g is the
Example: Given the functions f(x) = x² +1 and g(x) = x - 3. find
(fog)(x).
Solution:
(fog)(x) = f(g(x))
= (x − 3)² + 1
= x² - 6x +9+1
Answer: (fog)(x) = x² - 6x +10
Exercise: Given the functions f(x) = x² + 1 and g(x) = x - 3, find
(gof)(x).
how your work in the box below using the Graphical equation editor.
Transcribed Image Text:Page 3: 3 JULUI real numbers x in the domain of g such that g(x) is in the domain off. g, denoted fo g, is defined by (fog)(x)=f(g(x)). The domain of f g is the Example: Given the functions f(x) = x² +1 and g(x) = x - 3. find (fog)(x). Solution: (fog)(x) = f(g(x)) = (x − 3)² + 1 = x² - 6x +9+1 Answer: (fog)(x) = x² - 6x +10 Exercise: Given the functions f(x) = x² + 1 and g(x) = x - 3, find (gof)(x). how your work in the box below using the Graphical equation editor.
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