Question: discrete math 5.Let A be a set and let 3 be the set of one-to-one and onto functions from A to A, and let s

discrete math

5.Let A be a set and let 3 be the set of one-to-one and onto functions from A to A, and let s be the set of functions from A to A. Define a relation R on s by fRg ah E P(f = hog oh") (a) Prove that R is an equivalence relation. (b) Prove that if f is onto and fRg then g is onto. (c) Prove that if f is one-to-one and fRg then g is one to one

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