   Chapter 7.2, Problem 11ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Define F :   Z   ×   Z   → Z   ×   Z as follows. For every ordered pair (a, b) of integers, F(a, b) = ( 2 a + 1 , 3 b   2 ) Find the following: a. F(4,4) b. F(2,1) c. F(3,2) d. F(1,5)

To determine

(a)

To prove g is one-to-one and onto otherwise give counterexample.

Explanation

Given information:

Define g: by the rule, g(n)=4n5 for all integers n.

Calculation:

Let us suppose x,y and assume that g(x)=g(y).

So from the definition of g(n), the expression can be written as follows-

To determine

(b)

To prove G is onto otherwise give counterexample.

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