Function terminology of onto and one to one


Assignment:

Assume f: A->B and g: B->C.

a) Show that if f and g are both onto, then g o f is onto.
b) Show that if g o f is one-to-one, then f is one-to-one.
c) Show that if g o f is onto and g is one-to-one, then f is onto.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Function terminology of onto and one to one
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