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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 13CC
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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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