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2. (a) Suppose that k is a real number. Dene f (x) = 37:61: for 9: 7E k. Determine all real values of k for

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2. (a) Suppose that k is a real number. Dene f (x) = 37:61: for 9: 7E k. Determine all real values of k for which f (f (3)) = a: for every real number at with :0 7% k and f (9:) 7E k. b (b) Suppose that a, b and c are nonzero real numbers. Dene 9(33) 2 2:16 for a: 7 E. c Determine all triples (a, b, c) for which g(g(:c)) = a: for every real number a: with a: # b and 9(56) 72

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