Homework Help is Here – Start Your Trial Now!
Math
Algebra
(fog)(10) = (fof)(6)= (gof)(-10) = (8.g)(-6)= 0 x -10 -6 -1 f(x) -10 10 -1 g(x) 6 -10 8 -6 0 6 9 -6 004 10 6 8 0 10 -1 9 9

(fog)(10) = (fof)(6)= (gof)(-10) = (8.g)(-6)= 0 x -10 -6 -1 f(x) -10 10 -1 g(x) 6 -10 8 -6 0 6 9 -6 004 10 6 8 0 10 -1 9 9

Algebra and Trigonometry (6th Edition)
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,...
See similar textbooks
icon
Related questions
Question
The image presents a mathematical exercise involving the composition of functions using a table. The task is to find the values of the compositions \((f \circ g)(10)\), \((g \circ f)(-10)\), \((f \circ f)(6)\), and \((g \circ g)(-6)\). ### Table Data: The table contains the following values: | \( x \) | \( -10 \) | \( -6 \) | \( -1 \) | \( 0 \) | \( 6 \) | \( 8 \) | \( 9 \) | \( 10 \) | |----------|---------|--------|-------|------|------|------|------|------| | \( f(x) \) | -10 | -10 | -6 | -1 | 6 | 8 | 8 | 0 | | \( g(x) \) | 6 | -10 | 8 | 0 | -6 | 10 | -1 | 9 | ### Calculations: 1. **\((f \circ g)(10)\):** - First, find \(g(10)\), which is 9. - Then, find \(f(9)\), which is 8. - Therefore, \((f \circ g)(10) = 8\). 2. **\((g \circ f)(-10)\):** - First, find \(f(-10)\), which is -10. - Then, find \(g(-10)\), which is 6. - Therefore, \((g \circ f)(-10) = 6\). 3. **\((f \circ f)(6)\):** - First, find \(f(6)\), which is 6. - Then, find \(f(6)\) again, which remains 6. - Therefore, \((f \circ f)(6) = 6\). 4. **\((g \circ g)(-6)\):** - First, find \(g(-6)\), which is -10. - Then, find \(g(-10)\), which is 6. - Therefore, \((g \circ g)(-6) = 6\
Transcribed Image Text:The image presents a mathematical exercise involving the composition of functions using a table. The task is to find the values of the compositions \((f \circ g)(10)\), \((g \circ f)(-10)\), \((f \circ f)(6)\), and \((g \circ g)(-6)\). ### Table Data: The table contains the following values: | \( x \) | \( -10 \) | \( -6 \) | \( -1 \) | \( 0 \) | \( 6 \) | \( 8 \) | \( 9 \) | \( 10 \) | |----------|---------|--------|-------|------|------|------|------|------| | \( f(x) \) | -10 | -10 | -6 | -1 | 6 | 8 | 8 | 0 | | \( g(x) \) | 6 | -10 | 8 | 0 | -6 | 10 | -1 | 9 | ### Calculations: 1. **\((f \circ g)(10)\):** - First, find \(g(10)\), which is 9. - Then, find \(f(9)\), which is 8. - Therefore, \((f \circ g)(10) = 8\). 2. **\((g \circ f)(-10)\):** - First, find \(f(-10)\), which is -10. - Then, find \(g(-10)\), which is 6. - Therefore, \((g \circ f)(-10) = 6\). 3. **\((f \circ f)(6)\):** - First, find \(f(6)\), which is 6. - Then, find \(f(6)\) again, which remains 6. - Therefore, \((f \circ f)(6) = 6\). 4. **\((g \circ g)(-6)\):** - First, find \(g(-6)\), which is -10. - Then, find \(g(-10)\), which is 6. - Therefore, \((g \circ g)(-6) = 6\
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS