Question: A. to Complete the definition : A function f: A-B is called injective if ( 6) which of the following conditions are equivalent to the

A. to Complete the definition : A function f: A-B is called injective if ( 6) which of the following conditions are equivalent to the condition "f is mjestive"? ( 1) The equation y= f (x) has at most one solution for every yEB . (2) The equation y = f (x) has at least one solution for every yEB; (3) f( A ) # B ; ( 4 ) V X EA ] y EB such that y = f(x ) ; ( 5) VXEA, there is at most one value of y E B such that y= f(x); ( 6) There is YEB with no preimages in A ; ( 7) Every YEB has at least one preimage in A ; ( 8) Every YEB has at most one preimage in A. ( c ) Given A - BC, suppose f and q are injective functions. Prove that gof : A- C is injective. what's to be proved in terms of elements

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