Category: Relation and Functions

Question Number 39203 by math khazana by abdo last updated on 03/Jul/18 $$studyandgivethegraphof$$$$f\left(x\right)=\frac{e^{-x^2}}{x^2+3e^x}$$ Terms of Service Privacy…

Question Number 39038 by maxmathsup by imad last updated on 01/Jul/18 $$letf\left(z\right)=\frac{z}{z^2-z+2}$$$$developpfatintegrserie.$$ Commented by prof Abdo imad last updated on…

Question Number 38942 by math khazana by abdo last updated on 01/Jul/18 $$find\sum _{n=1}^{\mathrm{\infty }}\frac{{(-1)}^n}{n}cos\left(nx\right)and\sum _{n=1}^{\mathrm{\infty }}\frac{{(-1)}^n}{n}sin\left(nx\right)$$ Commented by prof Abdo…

Question Number 38898 by math khazana by abdo last updated on 01/Jul/18 $$findnatureodtheseri\sum _{n=1}^{\mathrm{\infty }}\frac{n{(-1)}^{\left[x\right]}}{1+n{\left[x\right]}^3}$$ Commented by math khazana by abdo…

Question Number 169922 by cortano1 last updated on 12/May/22 $$Letf\left(x\right)=\frac{2x-7}{x+1}.Compute{f}^{1989}\left(x\right).$$$$note{f}^2\left(x\right)=f\left(f\left(x\right)\right)$$ Answered by floor(10²Eta[1]) last updated on 12/May/22 $$\mathrm{f}\left(\mathrm{f}\left(\mathrm{x}\right)\right)=\mathrm{f}\left(\frac{\mathrm{2x}−\mathrm{7}}{\mathrm{x}+\mathrm{1}}\right)=\frac{\mathrm{2}\frac{\mathrm{2x}−\mathrm{7}}{\mathrm{x}+\mathrm{1}}−\mathrm{7}}{\frac{\mathrm{2x}−\mathrm{7}}{\mathrm{x}+\mathrm{1}}+\mathrm{1}}=\frac{−\mathrm{3x}−\mathrm{21}}{\mathrm{3x}−\mathrm{6}}=\frac{−\mathrm{x}−\mathrm{7}}{\mathrm{x}−\mathrm{2}} \…