For each of the following functions, indicate whether the function has a well-defined inverse. If the inverse is well-defined, give the input/output relationship of f-¹. (f) ƒ: {0,1}³ → {0, 1}³. The output of f is obtained by taking the input string and replacing the first bit by 1, regardless of whether the first bit is a 0 or 1. For example, f(001) = 101 and f(110) = 110.

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ChapterP: Prerequisites
SectionP.5: Functions
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Hello. Please answer the attached Discrete Mathematics question correctly and follow all directions. Do not copy the answers already given on Chegg. I just want your own personal answer. Show all your work. 

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For each of the following functions, indicate whether the function has a well-defined inverse. If the inverse is well-defined, give the
input/output relationship of f-¹.
(f) ƒ: {0,1}³ → {0, 1}³. The output of f is obtained by taking the input string and replacing the first bit by 1, regardless of
whether the first bit is a 0 or 1. For example, ƒ(001) = 101 and ƒ(110) = 110.
*Do Not Copy From Outside Sources Please. I want your answer. Thank you.
Transcribed Image Text:For each of the following functions, indicate whether the function has a well-defined inverse. If the inverse is well-defined, give the input/output relationship of f-¹. (f) ƒ: {0,1}³ → {0, 1}³. The output of f is obtained by taking the input string and replacing the first bit by 1, regardless of whether the first bit is a 0 or 1. For example, ƒ(001) = 101 and ƒ(110) = 110. *Do Not Copy From Outside Sources Please. I want your answer. Thank you.
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