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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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