Question Number 80973 by Rio Michael last updated on 08/Feb/20
$$\mathrm{Given}\:\mathrm{that}\:{f}\left({x}\right)\:=\:\begin{cases}{\mathrm{2}{x}−\mathrm{7},\:\:\mathrm{0}\:<\:{x}\:<\:\mathrm{6}}\\{\mathrm{2}^{{x}} ,\:\:\:\mathrm{7}\:<\:{x}\:<\:\mathrm{8}}\end{cases} \\ $$$$\mathrm{and}\:\mathrm{f}\:\mathrm{is}\:\mathrm{periodic}\:\mathrm{of}\:\mathrm{period}\:\mathrm{4}. \\ $$$$\mathrm{find}\:{f}\left(\mathrm{200}\right) \\ $$