Suppose f: A→ B and g: B→ C are functions, show that a) If both f and g are one-to-one, then go f is one-to-one. b) If both f and g are onto, then go f is onto. c) If both f and g are bijection, then go f is bijection.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.2: Complex Numbers And Quaternions
Problem 48E
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Suppose f: A→ B and g: B→ C are functions, show that
a) If both f and g are one-to-one, then go f is one-to-one.
b) If both f and g are onto, then go f is onto.
c) If both f and g are bijection, then go f is bijection.
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Transcribed Image Text:Suppose f: A→ B and g: B→ C are functions, show that a) If both f and g are one-to-one, then go f is one-to-one. b) If both f and g are onto, then go f is onto. c) If both f and g are bijection, then go f is bijection. 45
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