Suppose that g:A -> B and f:B -> C where A = B = C = {1, 2, 3, 4}, g ={(1, 4), (2, 1), (3, 1), (4, 2)}, and f = {(1, 3), (2, 2), (3, 4), (4, 2)}. Find f o g.   Suppose that g:A -> B and f:B -> C where A = B = C = {1, 2, 3, 4}, g ={(1, 4), (2, 1), (3, 1), (4, 2)}, and f = {(1, 3), (2, 2), (3, 4), (4, 2)}. Find g o f.

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

Hi, I am very confused by these questions. Please break it down into steps with explanation so I can understand. 

Suppose that g:A -> B and f:B -> C where A = B = C = {1, 2, 3, 4},
g ={(1, 4), (2, 1), (3, 1), (4, 2)}, and
f = {(1, 3), (2, 2), (3, 4), (4, 2)}.

Find f o g.

 

Suppose that g:A -> B and f:B -> C where A = B = C = {1, 2, 3, 4},
g ={(1, 4), (2, 1), (3, 1), (4, 2)}, and
f = {(1, 3), (2, 2), (3, 4), (4, 2)}.

Find g o f.

Expert Solution
Step 1

Given:-

 

Suppose that g:A -> B and f:B -> C where A = B = C = {1, 2, 3, 4},

g ={(1, 4), (2, 1), (3, 1), (4, 2)}

f = {(1, 3), (2, 2), (3, 4), (4, 2)}.

 

Find f o g and gof 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 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