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Author: Tinku Tara

If-f-x-2-x-86-and-g-x-3x-2-x-4-Then-find-g-f-1-g-14-

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Question Number 200168 by hardmath last updated on 15/Nov/23 $$\mathrm{If}\:\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\mathrm{2}^{\boldsymbol{\mathrm{x}}} \:+\:\mathrm{86}\:\:\mathrm{and}\:\:\mathrm{g}\left(\mathrm{x}\right)\:=\:\mathrm{3x}^{\mathrm{2}} \:+\:\mathrm{x}\:−\:\mathrm{4} \\ $$$$\mathrm{Then}\:\mathrm{find}:\:\:\mathrm{g}\left[\mathrm{f}^{−\mathrm{1}} \left(\mathrm{g}\left(\mathrm{14}\right)\right)\right]\:=\:? \\ $$ Commented by jazeee last updated on 15/Nov/23 $$…

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Rationalise-the-deniminator-of-the-following-fraction-1-6-3-2-1-

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Question Number 200169 by hardmath last updated on 15/Nov/23 $$\mathrm{Rationalise}\:\mathrm{the}\:\mathrm{deniminator}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{following}\:\mathrm{fraction}: \\ $$$$\frac{\mathrm{1}}{\:\sqrt{\mathrm{6}}\:−\:\sqrt{\mathrm{3}}\:+\:\sqrt{\mathrm{2}}\:+\:\mathrm{1}}\:=\:? \\ $$ Answered by Sutrisno last updated on 15/Nov/23 $$\frac{\mathrm{1}}{\:\sqrt{\mathrm{6}}−\sqrt{\mathrm{3}}+\sqrt{\mathrm{2}}+\mathrm{1}}×\frac{\left(\sqrt{\mathrm{6}}−\sqrt{\mathrm{3}}\right)−\left(\sqrt{\mathrm{2}}+\mathrm{1}\right)}{\left(\sqrt{\mathrm{6}}−\sqrt{\mathrm{3}}\right)−\left(\sqrt{\mathrm{2}}+\mathrm{1}\right)} \\…

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Given-f-R-R-is-a-quadratic-polynomial-f-1-1-f-2-1-2-and-f-3-1-3-Find-f-4-

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Question Number 200167 by hardmath last updated on 15/Nov/23 $$\mathrm{Given}\:\:\:\mathrm{f}:\mathbb{R}\rightarrow\mathbb{R}\:\:\mathrm{is}\:\mathrm{a}\:\mathrm{quadratic}\:\mathrm{polynomial} \\ $$$$\mathrm{f}\left(\mathrm{1}\right)\:=\:\mathrm{1}\:,\:\mathrm{f}\left(\mathrm{2}\right)\:=\:\frac{\mathrm{1}}{\mathrm{2}}\:\:\mathrm{and}\:\:\mathrm{f}\left(\mathrm{3}\right)\:=\:\frac{\mathrm{1}}{\mathrm{3}} \\ $$$$\mathrm{Find}:\:\:\mathrm{f}\left(\mathrm{4}\right)\:=\:? \\ $$ Answered by witcher3 last updated on 15/Nov/23 $$\Leftrightarrow\mathrm{f}\left(\mathrm{1}\right)−\mathrm{1}=\mathrm{2f}\left(\mathrm{2}\right)−\mathrm{1}=\mathrm{3f}\left(\mathrm{3}\right)−\mathrm{1}=\mathrm{0} \\…

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Question-200224

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Question Number 200224 by cortano12 last updated on 15/Nov/23 Answered by Rasheed.Sindhi last updated on 16/Nov/23 $$\begin{cases}{{yx}^{\mathrm{log}_{{y}} {x}\:} ={x}^{\frac{\mathrm{5}}{\mathrm{2}}} ……………\left({i}\right)}\\{\mathrm{log}_{\mathrm{4}} {y}.\mathrm{log}_{{y}} \left({y}−\mathrm{3}{x}\right)=\mathrm{1}…\left({ii}\right)\:\:}\end{cases} \\ $$$$\left({ii}\right)\Rightarrow\:\frac{\mathrm{1}}{\mathrm{log}_{{y}} \mathrm{4}\:}=\frac{\mathrm{1}}{\mathrm{log}_{{y}}…

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NO-2-g-2NO-g-O-2-g-at-300-C-The-initial-concentration-of-NO-2-is-0-01-mol-L-and-its-concentration-after-150-s-is-0055-mol-L-What-are-the-average-rates-of-the-above-reaction-during-the-

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Question Number 200125 by faysal last updated on 14/Nov/23 $$\mathrm{NO}_{\mathrm{2}} \left(\mathrm{g}\right)\:\Rightarrow\:\mathrm{2NO}\:\left(\mathrm{g}\right)+\mathrm{O}_{\mathrm{2}} \:\left(\mathrm{g}\right)\:\mathrm{at}\:\mathrm{300}°\mathrm{C} \\ $$$$\mathrm{The}\:\mathrm{initial}\:\mathrm{concentration}\:\mathrm{of}\:\mathrm{NO}_{\mathrm{2}} \:\mathrm{is}\: \\ $$$$\mathrm{0}.\mathrm{01}\:\mathrm{mol}/\mathrm{L}\:\mathrm{and}\:\mathrm{its}\:\mathrm{concentration}\: \\ $$$$\mathrm{after}\:\mathrm{150}\:\mathrm{s}\:\mathrm{is}\:.\mathrm{0055}\:\mathrm{mol}/\mathrm{L}.\:\mathrm{What}\:\mathrm{are} \\ $$$$\:\mathrm{the}\:\mathrm{average}\:\mathrm{rates}\:\mathrm{of}\:\mathrm{the}\:\mathrm{above} \\ $$$$\:\mathrm{reaction}\:\mathrm{during}\:\mathrm{the}\:\mathrm{first}\:\mathrm{150}\:\mathrm{s}\:\mathrm{and} \\ $$$$\:\mathrm{during}\:\mathrm{the}\:\mathrm{second}\:\mathrm{150}\:\mathrm{s}?…

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