How many extensions of g to A are one-to-one? How manu ou

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 11E: For the given f:ZZ, decide whether f is onto and whether it is one-to-one. Prove that your decisions...
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Solve b
Let X = {a, b, c, d, e, f, g} andY = (1,2}. Let X =
(d) and let g : X Y
be the function defined by g(d) = 2.
%3D
a. How many extensions of g to A are there?
b. How many extensions of g to A are one-to-one?
C. How many extensions of g to A are onto?
Transcribed Image Text:Let X = {a, b, c, d, e, f, g} andY = (1,2}. Let X = (d) and let g : X Y be the function defined by g(d) = 2. %3D a. How many extensions of g to A are there? b. How many extensions of g to A are one-to-one? C. How many extensions of g to A are onto?
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