Calculus

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Imagine that you live on an infinitely long and straight street called Infinite Drive. The addresses on Infinite Drive are given by real numbers. Your address on the street is π while your friend Patrick’s is √3 and Karen’s is sin60°. There are two moving companies, f and g. Those companies move people along Infinite Drive from address x to new addresses f(x) or g(x), depending on which company people choose.


Now assume that the moving companies are described by the functions f(x) = 5x and g(x) = 1/x.

a.Find a general form for all the functions that you can get by taking repeated compositions of the two functions.
b.What are all the possible addresses that you can move to? If the list is infinite, list at least three possible addresses.

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