Answered: Prove the Given theorem: Let f : X → Y…

Prove the Given theorem: Let f : X → Y and g : Y → Z be two invertible functions. Then gof is alsoinvertible with (gof)-1 = f-1og-1

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.5: Permutations And Inverses

Problem 10E: 10. Let and be mappings from to. Prove that if is invertible, then is onto and is...

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Prove the Given theorem:

Let f : X → Y and g : Y → Z be two invertible functions. Then gof is also
invertible with (gof)^-1 = f^-1og^-1

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