Composite relations can be thought of as composite functions. If S is a relation from set A to B, and R from B to C, then composite relation R S passes an input aA first to S, then passes the return bB to R, and finally returns the output cC, resulting in the set of pairs (aA, cC). Relations R and S are shown below:

R = {(1, 2),(2, 3),(2, 4),(3, 3),(4, 1)}

S = {(1, 1),(1, 4),(2, 3),(2, 4),(3, 1),(4, 4)}

Write the sets of pairs of composite relations (i) R R and (ii) R S .