Function terminology of onto and one to one


Question:

Function Terminology of 'Onto' and 'One to One'

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

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Mathematics: Function terminology of onto and one to one
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