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  3. let f: a?b and g:b?c be maps. (a) if f and g are b

Let f: A?B and g:B?C be maps. (A) If f and g are both one-to-one functions, show...

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Advance Math

Let f: A?B and g:B?C be maps.

(A) If f and g are both one-to-onefunctions, show that g?f is one-to-one.

(B) If g?f is onto, show that g isonto.

(C) If g?f is one-to-one, show that fis one-to-one.

(D) If g?f is one-to-one and f is onto,show that g is one-to-one.

(E) If g?f is onto and g is one-to-one,show that f is onto.

(Abstract Algebra)

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