Category: Algebra

Question Number 148911 by mathdanisur last updated on 01/Aug/21 $$f:[-3,0]\to [7,22]$$$$f\left(x\right)=x^2-2x+7$$$$find{f}^{-1}\left(x\right)=?$$ Answered by EDWIN88 last updated on 01/Aug/21…

Question Number 83372 by Power last updated on 01/Mar/20 Commented by mr W last updated on 01/Mar/20 $$goh\left(x\right)=x-2$$$$\frac{5h\left(x\right)}{h\left(x\right)+1}=x-2$$$$\Rightarrow h\left(x\right)=\frac{x-2}{7-x}$$$${hof}\left({x}\right)=\frac{\left(\mathrm{2}{x}−\mathrm{1}\right)−\mathrm{2}}{\mathrm{7}−\left(\mathrm{2}{x}−\mathrm{1}\right)}=\frac{\mathrm{2}{x}−\mathrm{3}}{\mathrm{8}−\mathrm{2}{x}} \…

Question Number 148890 by mathdanisur last updated on 01/Aug/21 $$ifx+\frac{1}{x}=\sqrt{3}$$$$find{x}^{18}+x^{12}+x^6+1=?$$ Answered by nimnim last updated on 01/Aug/21 $$\mathrm{x}+\frac{\mathrm{1}}{\mathrm{x}}=\sqrt{\mathrm{3}}\Rightarrow\mathrm{x}^{\mathrm{2}}…

Question Number 83341 by mr W last updated on 01/Mar/20 $$Findthemaximumandminimum$$$$\text{Double subscripts: use braces to clarify}$$$$\underset{\boldsymbol{{i}}=\mathrm{1}} {\overset{\boldsymbol{{n}}} {\boldsymbol{\sum}}}\left(\boldsymbol{{x}}_{\boldsymbol{{i}}} −\boldsymbol{{b}}_{\boldsymbol{{i}}} \right)^{\mathrm{2}} =\boldsymbol{{c}}^{\mathrm{2}} ,\:{where}\:\boldsymbol{{a}}_{\boldsymbol{{i}}}…

Question Number 17775 by gourav~ last updated on 10/Jul/17 $$\underset{m=1}{\sum ^{10}}(\frac{\sin 2\pi m}{11}-i\frac{\cos 2\pi m}{11})=?????$$$$Solve..it$$$$$$ Answered by alex041103 last updated on 10/Jul/17…