Solved: Indicate which of the functions in the referenced
Chapter 7, Problem 47E(choose chapter or problem)
Problem 47E
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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