Answer
Let f be a function from A to B. Let S and T be subsets
of B. Show that
a) f −1(S ∪ T ) = f −1(S) ∪ f −1(T ).
b) f −1(S ∩ T ) = f −1(S) ∩ f −1(T )
Work Step by Step
a) f −1(S ∪ T ) = f −1(S) ∪ f −1(T ).
b) f −1(S ∩ T ) = f −1(S) ∩ f −1(T )
Discrete Mathematics and Its Applications, Seventh Edition
by Rosen, Kenneth
Published by
McGraw-Hill Education
ISBN 10:
0073383090
ISBN 13:
978-0-07338-309-5
Chapter 2 - Section 2.3 - Functions - Exercises - Page 154: 44
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