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Let f be a function from the set A to the set B. Let S be

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 45E Chapter 2.3

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 45E

Let f  be a function from the set A to the set B. Let S be a subset of B. We define the inverse image of S to be the subset of A whose elements are precisely all pre - images of all elements of S. We denote the inverse image of S by , so {a A  |}. (Beware: the notation is used in two different ways. Do not confuse the notation introduced here with the notation for the value at y of the inverse of the invertible function f.  Notice also that , the inverse image of the set S, makes sense for all functions f, not just invertible functions.)

Let f be a function from A to B. Let S be a subset of B. Show that

Step-by-Step Solution:

Solution:

Step 1

In this problem we are asked to show that  where the inverse image of S is denoted by and {a A  |}.

Step 2 of 2

Chapter 2.3, Problem 45E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

The answer to “Let f be a function from the set A to the set B. Let S be a subset of B. We define the inverse image of S to be the subset of A whose elements are precisely all pre - images of all elements of S. We denote the inverse image of S by , so {a A |}. (Beware: the notation is used in two different ways. Do not confuse the notation introduced here with the notation for the value at y of the inverse of the invertible function f. Notice also that , the inverse image of the set S, makes sense for all functions f, not just invertible functions.)Let f be a function from A to B. Let S be a subset of B. Show that” is broken down into a number of easy to follow steps, and 129 words. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. This full solution covers the following key subjects: let, show, function, subset. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Since the solution to 45E from 2.3 chapter was answered, more than 288 students have viewed the full step-by-step answer. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The full step-by-step solution to problem: 45E from chapter: 2.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM.

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Let f be a function from the set A to the set B. Let S be