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Category: Relation and Functions

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} \\…

let-f-x-e-arctan-2-x-2-1-1-calculate-f-x-2-give-the-equation-of-tangente-to-graph-C-f-at-point-A-1-f-1-

Question Number 68871 by mathmax by abdo last updated on 16/Sep/19 $${let}\:{f}\left({x}\right)={e}^{−{arctan}\left(\frac{\mathrm{2}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}}\right)} \:\: \\ $$$$\left.\mathrm{1}\right){calculate}\:{f}^{'} \left({x}\right) \\ $$$$\left.\mathrm{2}\right){give}\:{the}\:{equation}\:{of}\:{tangente}\:{to}\:{graph}\:{C}_{{f}} {at}\:{point}\:{A}\left(\mathrm{1},{f}\left(\mathrm{1}\right)\right) \\ $$ Terms of Service…

Find-the-number-of-integers-satisfying-x-5-21-x-2-10x-4-

Question Number 134169 by liberty last updated on 28/Feb/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{integers} \\ $$$$\mathrm{satisfying}\:\mid\mid\mathrm{x}−\mathrm{5}\mid−\mathrm{21}\mid\:=\:\mid\:\mathrm{x}^{\mathrm{2}} −\mathrm{10x}+\mathrm{4}\:\mid \\ $$ Answered by mr W last updated on 28/Feb/21 $$\mid\mid{x}−\mathrm{5}\mid−\mathrm{21}\mid=\mid\mid{x}−\mathrm{5}\mid^{\mathrm{2}} −\mathrm{21}\mid…