Prove: Let the function f:X →Y and g:Y →Z be continuous. Then the composition function g•f:X→Z is also continuous.
Prove: Let the function f:X →Y and g:Y →Z be continuous. Then the composition function g•f:X→Z is also continuous.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 53E
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![3. Prove: Let the function f :X →Y and g :Y →Z be continuous. Then the
composition function gof:X →Z is also continuous.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a256946-58ed-401d-913d-e2d506fac8aa%2F1b127a9d-c9a8-4c56-8514-68beb932db2c%2Fqfm1qmh_processed.png&w=3840&q=75)
Transcribed Image Text:3. Prove: Let the function f :X →Y and g :Y →Z be continuous. Then the
composition function gof:X →Z is also continuous.
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