Given
f = {(a, b), (b, a), (c, b)}, a function from X = (a, b, c) to X:
(a) Write f ◦ f and f ◦ f ◦ f as sets of ordered pairs.
(b) Define fn = f ◦ f ◦ . . . ◦ f to be the n-fold composition of f with itself. Write f9 and f623 as sets of ordered pairs.
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