# Solution: Indicate which of the functions in the referenced

## Problem 46E Chapter 7.2

Discrete Mathematics with Applications | 4th Edition

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Discrete Mathematics with Applications | 4th Edition

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Problem 46E

Indicate which of the functions in the referenced exercise are one-to-one correspondences. For each function that is a one-to-one correspondence, find the inverse function.

Exercise

a. Define g: Z → Z by the rule g(n) = 4n − 5, for all integers n.

(i) Is g one-to-one? Prove or give a counterexample.

(ii) Is g onto? Prove or give a counterexample.

b. Define G: R → R by the rule G(x)= 4x − 5 for all real numbers x .Is G onto? Prove or give a counterexample.

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Solution: Indicate which of the functions in the referenced

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