Consider the functions f : A → B, g : B → A and h : B → Asuch that if gf = 14 and fh = 1B.Prove(а)f is a 1-1 correspondence A - B.(b)f1A = f and 1Bf = f.

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Answered: Consider the functions f : A → B, g : B…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.7: Inverse Functions

Problem 6SE: Show that the function fx)=ax is its own inverse for all real numbers a.

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Consider the functions f : A → B, g : B → A and h : B → A such that if gf = 1 Ą and fh = 1B. Prove (a) f is a 1-1 correspondence A - B. (b) fla = f and 1Bf = f.