(a) Suppose that k is a real number. Define f(x) TTX = for xk. Determine all...

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(a) Suppose that k is a real number. Define f(x) TTX = for xk. Determine all real x+k values of k for which (f(x)) = x for every real number x with x k and f(x) k. (b) Suppose that a, b and c are non-zero real numbers. Define g(x) = ax+b bx + c C for x = and g(x) 5 b Determine all triples (a, b, c) for which g(g(x)) = x for every real number x with x + b (a) Suppose that k is a real number. Define f(x) TTX = for xk. Determine all real x+k values of k for which (f(x)) = x for every real number x with x k and f(x) k. (b) Suppose that a, b and c are non-zero real numbers. Define g(x) = ax+b bx + c C for x = and g(x) 5 b Determine all triples (a, b, c) for which g(g(x)) = x for every real number x with x + b