Answered: Let S = {1,2,3,4} and define functions…

Let S = {1,2,3,4} and define functions f g: S→S by f = {(1,3), (2,2), (3,4), (4,1)} and g = {(1,4), (2,3), (3,1), (4,2)}. Find (a) g-i • f• g (b)f • gi•g (c)f! • g•l • f•g[

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let S = {1,2,3,4} and define functions f g: S→S by f = {(1,3), (2,2), (3,4), (4,1)} and
g = {(1,4), (2,3), (3,1), (4,2)}. Find
(a) g-i • f• g
(b)f • gi•g (c)f! • g•l • f•g[

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