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Question Number 80973 by Rio Michael last updated on 08/Feb/20

Given that f(x) =  { ((2x−7,  0 < x < 6)),((2^x ,   7 < x < 8)) :}  and f is periodic of period 4.  find f(200)

$$\mathrm{Given}\:\mathrm{that}\:{f}\left({x}\right)\:=\:\begin{cases}{\mathrm{2}{x}−\mathrm{7},\:\:\mathrm{0}\:<\:{x}\:<\:\mathrm{6}}\\{\mathrm{2}^{{x}} ,\:\:\:\mathrm{7}\:<\:{x}\:<\:\mathrm{8}}\end{cases} \\ $$ $$\mathrm{and}\:\mathrm{f}\:\mathrm{is}\:\mathrm{periodic}\:\mathrm{of}\:\mathrm{period}\:\mathrm{4}. \\ $$ $$\mathrm{find}\:{f}\left(\mathrm{200}\right) \\ $$

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