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Author: Tinku Tara

Given-g-x-x-11-x-1-x-1-If-f-x-8-f-g-x-15-x-find-the-value-of-f-13-

Question Number 134506 by bemath last updated on 04/Mar/21 $$\mathrm{Given}\:\mathrm{g}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{x}+\mathrm{11}}{\mathrm{x}−\mathrm{1}}\:;\:\mathrm{x}\neq\mathrm{1}\: \\ $$$$\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)+\mathrm{8}\left(\mathrm{f}\circ\mathrm{g}\right)\left(\mathrm{x}\right)=\:\mathrm{15}−\mathrm{x}\:,\:\mathrm{find} \\ $$$$\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{f}\left(\mathrm{13}\right). \\ $$ Answered by EDWIN88 last updated on 04/Mar/21 $$\mathrm{first}\:\mathrm{step}\:,\:\mathrm{we}\:\mathrm{must}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\begin{cases}{\mathrm{g}\left(\mathrm{2}\right)}\\{\mathrm{g}\left(\mathrm{13}\right)}\end{cases} \\…

Question-68967

Question Number 68967 by aliesam last updated on 17/Sep/19 Answered by mind is power last updated on 17/Sep/19 $${tg}\left(\frac{{x}}{\mathrm{2}}\right)={t} \\ $$$${dx}=\frac{\mathrm{2}{dt}}{\mathrm{1}+{t}^{\mathrm{2}} } \\ $$$$\Rightarrow{sin}\left({x}\right)=\frac{\mathrm{2}{t}}{\mathrm{1}+{t}^{\mathrm{2}} }\:\:{cos}\left({x}\right)=\frac{\mathrm{1}−{t}^{\mathrm{2}}…

Question-68964

Question Number 68964 by ahmadshah last updated on 17/Sep/19 Commented by mind is power last updated on 17/Sep/19 $${m}+{in}={e}^{{ia}} +{e}^{{ib}} \Rightarrow{m}^{\mathrm{2}} −{n}^{\mathrm{2}} +\mathrm{2}{imn}={e}^{{i}\mathrm{2}{a}} +{e}^{\mathrm{2}{ib}} +\mathrm{2}{e}^{{i}\left({a}+{b}\right)}…