f:X→Y and g: Y→V be bijective functions. Show the following: ) gof: X→V is injective. ) gof: X→V is surjective. fogl ) (gof)

College Algebra
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ISBN:9781938168383
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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f: X→ Y and g: Y→V be bijective functions. Show the following:
) gof: X → V is injective.
) gof: X→ V is surjective.
) (gof)-¹ = f¹og-¹
v injective if x1 #xn → v(x1) = v(xn)
Transcribed Image Text:f: X→ Y and g: Y→V be bijective functions. Show the following: ) gof: X → V is injective. ) gof: X→ V is surjective. ) (gof)-¹ = f¹og-¹ v injective if x1 #xn → v(x1) = v(xn)
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