Let X = {o, s, v}, Y = {c, d, e, i}, and Z= {0, 3, 6, 8, 9}. Let f : X → Y where f = {(o, c), (s, e), (v, d)}. Let g: Y→ Z where g = {(e, 9), (c, 8), (d, 3), (i, 6)} . g • f = { }.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 26E: 26. Let and. Prove that for any subset of T of .
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Question
Let X = {0, s, v}, Y = {c, d, e, i}, and
Z = {0, 3, 6, 8, 9}.
Let f : X → Y where ƒ f
= {(o, c), (s, e), (v, d)}. Let
g: Y→ Z where g = {(e, 9), (c, 8), (d, 3), (i, 6)}.
g•f = {
}.
Transcribed Image Text:Let X = {0, s, v}, Y = {c, d, e, i}, and Z = {0, 3, 6, 8, 9}. Let f : X → Y where ƒ f = {(o, c), (s, e), (v, d)}. Let g: Y→ Z where g = {(e, 9), (c, 8), (d, 3), (i, 6)}. g•f = { }.
Let X = {q, t, u, v}, Y = {c, d, e, g, k}, and
Z = {1, 2, 4, 7, 8, 9}. Let f : X → Y where
f = {(q, k), (t, d), (u, e), (v, g)}. Let g: Y→ Z where
g = {(k, 2), (d, 8), (e, 1), (g, 9), (c, 4)). Answer each
of the following questions.
g ° f (q) =
=
g ° f(u) =
=
gof(v) =
II
Transcribed Image Text:Let X = {q, t, u, v}, Y = {c, d, e, g, k}, and Z = {1, 2, 4, 7, 8, 9}. Let f : X → Y where f = {(q, k), (t, d), (u, e), (v, g)}. Let g: Y→ Z where g = {(k, 2), (d, 8), (e, 1), (g, 9), (c, 4)). Answer each of the following questions. g ° f (q) = = g ° f(u) = = gof(v) = II
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