Category: Relation and Functions

Question Number 86406 by mathmax by abdo last updated on 28/Mar/20 $$let\overrightarrow{u}=\overrightarrow{i}-\overrightarrow{j}+\overrightarrow{k}and\overrightarrow{v}=2\overrightarrow{i}+\overrightarrow{j}+3\overrightarrow{k}$$$$(o,i,j,k)orthonormal$$$$\left.\mathrm{1}\right)\:{calculate}\:\:\mid\mid\overset{\rightarrow} {{u}}\mid\mid\:\:,\mid\mid\overset{\rightarrow}…

Question Number 151863 by pticantor last updated on 23/Aug/21 $$$$$$\mathit{l}\mathit{i}\underset{\mathit{x}-0}{\mathit{m}}\frac{1-\underset{\mathit{k}=1}{\prod ^{\mathit{n}}}\mathit{c}\mathit{o}\mathit{s}\left(\mathit{k}\mathit{x}\right)}{{\mathit{x}}^2}=????$$$$$$ Answered by ArielVyny last updated…

Question Number 151742 by mnjuly1970 last updated on 22/Aug/21 $$$$$$\mathrm{F}\left(x\right):=\frac{log(sin\left(x\right)+cos\left(x\right))}{log\left(sin\left(2x\right)\right)}$$$$findtheDomainof\mathrm{F}\dots$$$${\mathrm{D}}_{\mathrm{F}}=?$$ Answered by mindispower last updated on…

Question Number 86160 by jagoll last updated on 27/Mar/20 $$\mathrm{If}(\mathrm{x}-1)\mathrm{f}\left(\mathrm{x}\right)+\mathrm{f}\left(\frac{1}{\mathrm{x}}\right)=\frac{1}{\mathrm{x}-1}$$$$\mathrm{find}\mathrm{f}\left(\mathrm{x}\right)$$ Commented by john santu last updated on 27/Mar/20 $$replacexby\frac{1}{x}$$$$\Rightarrow\left(\frac{\mathrm{1}}{{x}}−\mathrm{1}\right){f}\left(\frac{\mathrm{1}}{{x}}\right)+{f}\left({x}\right)=\:\frac{\mathrm{1}}{\frac{\mathrm{1}}{{x}}−\mathrm{1}}…

Question Number 86030 by oustmuchiya@gmail.com last updated on 26/Mar/20 $$Tbefunction\mathbf{f}and\mathbf{g}aredefinedby\mathbf{f}\left(\mathbf{x}\right)=2\mathbf{x}-3and\mathbf{g}\left(\mathbf{x}\right)=3\mathbf{x}.$$$$\mathbf{F}ind\left(\mathbf{a}\right){\mathbf{f}}^{-1}\left(\mathbf{x}\right)\left(\mathbf{b}\right)\mathbf{gf}\left(\mathbf{x}\right)\left(\mathbf{c}\right)\mathbf{gf}\left(2\right)$$ Commented by Rio Michael last updated on 26/Mar/20 $$\:{f}:\:{x}\:\rightarrow\:\mathrm{2}{x}−\mathrm{3}\:\:\:\mathrm{and}\:\mathrm{g}\::\:{x}\:\rightarrow\:\mathrm{3}{x} \…