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Category: Relation and Functions

Question-190934

Question Number 190934 by Alejosandel06 last updated on 14/Apr/23 Answered by Tokugami last updated on 15/Apr/23 $${y}=\mathrm{11}.\mathrm{786}{x}^{\mathrm{2}} −\mathrm{142}.\mathrm{214}{x}+\mathrm{493} \\ $$$$\mathrm{11}.\mathrm{786}{x}^{\mathrm{2}} −\mathrm{142}.\mathrm{214}{x}+\mathrm{493}=\mathrm{812} \\ $$$$\mathrm{11}.\mathrm{786}{x}^{\mathrm{2}} −\mathrm{142}.\mathrm{214}{x}−\mathrm{319}=\mathrm{0} \\…

let-f-x-x-4-x-2-and-g-x-2-x-3-2-x-3-1-find-D-f-D-g-and-D-fog-and-determine-fog-x-2-calculate-gof-x-and-give-D-gof-3-calculate-1-2-1-2-f-x-d

Question Number 59188 by maxmathsup by imad last updated on 05/May/19 $${let}\:{f}\left({x}\right)={x}−\sqrt{\mathrm{4}−{x}^{\mathrm{2}} }\:\:{and}\:{g}\left({x}\right)\:=\frac{\mathrm{2}\:+\sqrt{{x}−\mathrm{3}}}{\mathrm{2}−\sqrt{{x}−\mathrm{3}}} \\ $$$$\left.\mathrm{1}\right)\:{find}\:\:\:{D}_{{f}} \:\:,{D}_{{g}} \:\:\:{and}\:{D}_{{fog}} \:\:\:\:\:{and}\:\:{determine}\:{fog}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{gof}\left({x}\right)\:{and}\:{give}\:{D}_{{gof}} \\ $$$$\left.\mathrm{3}\right)\:{calculate}\:\int_{−\frac{\mathrm{1}}{\mathrm{2}}} ^{\frac{\mathrm{1}}{\mathrm{2}}} {f}\left({x}\right){dx}\:\:\:\: \\…