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a) Define the inverse of a function.________________b)

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

Solution for problem 10RQ Chapter 2.R

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 10RQ

a) Define the inverse of a function.

b) When docs a function have an inverse?

c) Does the function f(n) = 10 − n from the set of integers to the set of integers have an inverse? If so, what is it?

 

Step-by-Step Solution:

Step 1</p>

a)Definition of inverse of a function

Let A and B are any two non empty sets. Define a function .

Then its inverse is defined  as   

Step 2</p>

b) A function has an inverse if and only if   is bijective.

Step 3 of 3

Chapter 2.R, Problem 10RQ is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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a) Define the inverse of a function.________________b)

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