Question 4. Consider the functions f: A → B, g : B → A and h : B → A such that if gf = 1 4 and fh =1B. Prove f is a 1-1 correspondence A - B. f14 = f and 1Bf = f. (a) (b) %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
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Question 4. Consider the functions f : A → B, g : B → A and h : B → A
such that if gf = 1 4 and fh =1B.
%3D
Prove
(a)
f is a 1-1 correspondence A - B.
(b)
flA = f and 1Bf = f.
Transcribed Image Text:Question 4. Consider the functions f : A → B, g : B → A and h : B → A such that if gf = 1 4 and fh =1B. %3D Prove (a) f is a 1-1 correspondence A - B. (b) flA = f and 1Bf = f.
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