Show that the function f(x) = ex from the set of real

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

Problem 28E 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 28E

Show that the function f(x) = ex from the set of real numbers to the set of real numbers is not invertible, but if the codomain is restricted lo the set of positive real numbers, the resulting function is invertible.

Step-by-Step Solution:

Solution Step 1:We have to show that the function from the set of real numbers to the set of nonnegative real numbers is not invertible,but if the domain is restricted to the set of nonnegative real numbers,the resulting function is invertibleStep 2:The function is said to be invertible if it is bijective function that is the function is one-to-one(injective) and onto(surjective)For the function to be invertible it not be bijective function

Step 3 of 3

Chapter 2.3, Problem 28E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7th
Author: Kenneth Rosen
ISBN: 9780073383095

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