Suppose that g is a function from A to B and f is a function from B
Question:
a) Show that if both f and g are one-to-one functions, then f ◦ g is also one-to-one.
b) Show that if both f and g are onto functions, then f ◦ g is also onto.
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In both cases we can argue directly from the definitions a Assume that both f and ...View the full answer
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Related Book For 
Discrete Mathematics and Its Applications
ISBN: 978-0073383095
7th edition
Authors: Kenneth H. Rosen
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