Let f : X → Y and g : X → Z be two bijective functions. Is the function h: X → Y × Z defined by h(x) = (f(x), g(x)), (i) injective, (ii) surjective?
Let f : X → Y and g : X → Z be two bijective functions. Is the function h: X → Y × Z defined by h(x) = (f(x), g(x)), (i) injective, (ii) surjective?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 44E
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Question
Let f : X → Y and g : X → Z be two bijective functions. Is the function h: X →
Y × Z defined by
h(x) = (f(x), g(x)),
(i) injective, (ii) surjective?
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