suppose we have f: A->B a one to one and onto function so that function has an inverse, suppose we have two functions g,h: B-> A such that fog-foh =Idb and gof=hof -Ida show that g=h

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 17CT
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suppose we have f: A->B a one to one and
onto function so that function has an inverse,
suppose we have two functions g,h: B-> A
such that fog-foh =Idb and gof=hof -Ida show
that g=h
Transcribed Image Text:suppose we have f: A->B a one to one and onto function so that function has an inverse, suppose we have two functions g,h: B-> A such that fog-foh =Idb and gof=hof -Ida show that g=h
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