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Determine whether each of these functions is a bijection

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

Solution for problem 22E 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 22E

Determine whether each of these functions is a bijection from R to R.

Step-by-Step Solution:

Solution:Step 1 ;We have to check weather the following function are bijection from .given functions are (a) Ans : first check f is one-one consider for all x,y this shows .’. f is one-one.Next check f is ontotake .’. and function g is .’. this is the inverse of f . it makes the g as a function.then it is onto,.’. the function is both one-one and onto Then f is bijective.Step 2:(b) Ans :first check f is one-to-one put x=-1 then .’. F is not one-oneHence f is not a bijective function.

Step 3 of 4

Chapter 2.3, Problem 22E is Solved
Step 4 of 4

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Determine whether each of these functions is a bijection

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