Consider the functions f : A → B, g : B → A and h : B → A such that if gf =14 and fh = 1B. Prove f is a 1-1 correspondence A - B. fla = f and 1gƒ = f. (a) (b)
Consider the functions f : A → B, g : B → A and h : B → A such that if gf =14 and fh = 1B. Prove f is a 1-1 correspondence A - B. fla = f and 1gƒ = f. (a) (b)
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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Transcribed Image Text:Consider the functions f : A → B, g : B → A and h : B → A
such that if gf =14 and fh = 1B.
Prove
f is a 1-1 correspondence A - B.
fla = f and 18f = f.
(a)
(b)
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