Given f = {(a,b),(b,a),(c,b)}, a function from X = {a,b,c} to X. (a) Write f o f and f o f o f as sets of ordered pairs. (b) Define f^n = f o f o .....o f (n times) Write f^450 as a set of ordered pairs.
Given f = {(a,b),(b,a),(c,b)}, a function from X = {a,b,c} to X. (a) Write f o f and f o f o f as sets of ordered pairs. (b) Define f^n = f o f o .....o f (n times) Write f^450 as a set of ordered pairs.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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Given f = {(a,b),(b,a),(c,b)}, a function from X = {a,b,c} to X.
(a) Write f o f and f o f o f as sets of ordered pairs.
(b) Define
f^n = f o f o .....o f (n times)
Write f^450 as a set of ordered pairs.
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