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,...
icon
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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education