Let X = { n Î Z | 1 £ n £6 } and consider the two functions f : X ® X , g : X ® X , expressed in their graph form as follows: F = { (1,2), (2,4), (3,3), (4,4), (5,1), (6,6) } G = { (1,2), (2,4), (3,6), (4,2), (5,4), (6,6) } State the following functions in graph form (that is, as a subset of X×X): g°f, g°g.
Let X = { n Î Z | 1 £ n £6 } and consider the two functions f : X ® X , g : X ® X , expressed in their graph form as follows: F = { (1,2), (2,4), (3,3), (4,4), (5,1), (6,6) } G = { (1,2), (2,4), (3,6), (4,2), (5,4), (6,6) } State the following functions in graph form (that is, as a subset of X×X): g°f, g°g.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Question
Let X = { n Î Z | 1 £ n £6 } and consider the two functions f : X ® X , g : X ® X ,
expressed in their graph form as follows:
F = { (1,2), (2,4), (3,3), (4,4), (5,1), (6,6) }
G = { (1,2), (2,4), (3,6), (4,2), (5,4), (6,6) }
State the following functions in graph form (that is, as a subset of X×X):
- g°f,
- g°g.
Answer:
- The graph representation of g o f is
- The graph representation of g o g is
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