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
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
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee6c0da3-d5f7-4415-97e8-e22c45df62b3%2Fdcb67c47-a590-4ac9-8f85-b21516038d0f%2Fgbgj1p4_processed.jpeg&w=3840&q=75)
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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