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The domain and codomain of the following three functions (i.e., f1(), f2() and f3()) are P and Q respectively, where P =ZZ and Q=Z. Determine

The domain and codomain of the following three functions (i.e., f1(), f2() and f3()) are P and Q respectively, where P =ZZ and Q=Z. Determine whether each of the following functions is injective and/or surjective. (Steps required.)

(a) f1(x,y)=xy

(b) f2(x,y)=(yx)2

(c) f3(x,y)=2y1

.

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