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

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-one functions, show that g ? f isone-to-one.

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

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


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


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

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