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In 1.19 and 1.20,for each n E Z the mapping f" : Z -> Z is defined by f,,(x) = nx. For

Chapter 1, Problem 1.19

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QUESTION:

In 1.19 and 1.20,for each n E Z the mapping f" : Z -> Z is defined by f,,(x) = nx. For which values of n is f" onto?

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QUESTION:

In 1.19 and 1.20,for each n E Z the mapping f" : Z -> Z is defined by f,,(x) = nx. For which values of n is f" onto?

ANSWER:

Step 1 of 2

For each integer n, we get following mapping

         

Domain=Z

Co-domain=Z

So  is a mapping that maps an element in domain to n-times that element.

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