Now let f : R → [-1, 1] be defined by f(x) = sin(x). Since f is onto, the above gives rise to a partition of A = R, 0 is in one of the sets, and we call that set Ao. Say precisely what is in the set A. What is in the set A,? Why would you expect it to be this? Using the same notation, what is in the set An/6? You can just write down your
Now let f : R → [-1, 1] be defined by f(x) = sin(x). Since f is onto, the above gives rise to a partition of A = R, 0 is in one of the sets, and we call that set Ao. Say precisely what is in the set A. What is in the set A,? Why would you expect it to be this? Using the same notation, what is in the set An/6? You can just write down your
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 19E
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