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# Show that the function f(x) = |x| from the set of real ISBN: 9780073383095 37

## Solution for problem 29E Chapter 2.3

Discrete Mathematics and Its Applications | 7th Edition

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Problem 29E

Show that the function f(x) = |x| 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 non- negative 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

##### ISBN: 9780073383095

Since the solution to 29E from 2.3 chapter was answered, more than 272 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 29E from chapter: 2.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. This full solution covers the following key subjects: Numbers, set, real, function, invertible. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The answer to “Show that the function f(x) = |x| 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 non- negative real numbers, the resulting function is invertible.” is broken down into a number of easy to follow steps, and 42 words.

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