Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 7 - Functions - Exercise Set 7.1 - Page 396: 39

Answer

a) Image Below b) g(A) = g({2,3}) = {a,a} = {a} g(X)= g({1,2,3,4}) = {a,a,a,d} = {a,d} g −1(C) = g −1({a})= {1,2,3} g −1(D) = g −1({b,c}) = ∅ g −1(Y) = g −1({a,b,c,d,e}) = {1,2,3,4} = X

Work Step by Step

a) Image Below b) g(A) = g({2,3}) = {a,a} = {a} g(X)= g({1,2,3,4}) = {a,a,a,d} = {a,d} g −1(C) = g −1({a})= {1,2,3} g −1(D) = g −1({b,c}) = ∅ g −1(Y) = g −1({a,b,c,d,e}) = {1,2,3,4} = X
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