Let z be the set of integers and f:Z → Z be defined as f(x)=-4x+5. Then the inverse function of f * does not exist because f is not one to one O None of these O does not exist because f is not onto exists because f is bijective

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 23E: Let a and b be constant integers with a0, and let the mapping f:ZZ be defined by f(x)=ax+b. Prove...
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Let Z be the set of integers and f:Z → Z be
defined as f(x)=-4x+5. Then the inverse
function of f *
does not exist because f is not one
to one
O None of these
O does not exist because f is not onto
O exists because f is bijective
Transcribed Image Text:Let Z be the set of integers and f:Z → Z be defined as f(x)=-4x+5. Then the inverse function of f * does not exist because f is not one to one O None of these O does not exist because f is not onto O exists because f is bijective
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