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Question: could you please help for this question abcd thank...

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Let :10.1/3 2/31O, 1 dined by ()0 5 a there exist points in the domain for which f can only be applied once. For example, f(1/6) 1/2 [0, 1/3 U12/3, 1]. Similarly, there exist points for which f can only be applied a finite number of times. [0, 11 defined by 1/3. Notice that (a) Find all fixed points of f. (That is, find all r such that f(x) r.) (b) Find all points of period 2, (That is, find all x such that f(f(x)) = x.) (c) Find all points of period 3. (That is, find all z such that f(x) -f(((z)) (d) For which points r can I guarantee that f(x) is in the domain of f for all n 2 1? Briefly justify your answer

Could you please help for this question A-B-C-D ?! Thank You !!! (you the best)

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