Category: Relation and Functions

Question Number 10987 by Joel576 last updated on 05/Mar/17 $$\mathrm{If}$$$$\bullet f(2x+1)+g(3-x)=x$$$$\bullet f\left(\frac{3x+5}{x+1}\right)+2g\left(\frac{2x+1}{x+1}\right)=\frac{x}{x+1}$$$$\mathrm{for}\mathrm{every}x\in \mathbb{R},x\ne -1$$$$\mathrm{Find}f\left(x\right)!!$$ Answered by ajfour last updated…

Question Number 76497 by mathmax by abdo last updated on 27/Dec/19 $$calculatetan\left(3x\right)intermsoftanx$$ Answered by Rio Michael last updated on 27/Dec/19 $$tan3x=tan(2x+x)=\frac{tan2x+tanx}{1-tan2xtanx}$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\frac{\frac{\mathrm{2}{tanx}}{\mathrm{1}−{tan}^{\mathrm{2}}…

Question Number 10887 by Saham last updated on 28/Feb/17 $$\mathrm{Suppose}\mathrm{that}\mathrm{f}\left(\mathrm{x}\right)=\frac{1}{\mathrm{x}+1}\mathrm{and}\mathrm{g}\left(\mathrm{x}\right)=\frac{4}{\mathrm{x}+1}.$$$$\mathrm{Find}\mathrm{the}\mathrm{domain}\mathrm{of}\mathrm{each}\mathrm{of}\mathrm{the}\mathrm{composition}$$$$\left(\mathrm{a}\right)\mathrm{f}\mathrm{o}\mathrm{g}\left(\mathrm{b}\right)\mathrm{f}\mathrm{o}\mathrm{f}$$ Answered by geovane10math last updated on 28/Feb/17 $$\mathrm{I}\:\mathrm{wrote}\:\mathrm{an}\:\mathrm{answer} \…

Question Number 141937 by cesarL last updated on 24/May/21 $$Writeandgraphtheequationofthegraphofy=sin\left(\pi x\right)$$$$Itisstretchedupbyafactorof5andshifted\frac{1}{2}unittotheright$$$$Helpmeplease$$$$$$ Commented by MJS_new last updated on 25/May/21…

Question Number 141932 by mathmax by abdo last updated on 24/May/21 $$\mathrm{calculate}{\lim }_{\mathrm{x}\to 0}\frac{\sin \left(\sin \left(\mathrm{sinx}\right)\right)+1-\cos \left({\mathrm{x}}^2\right)}{{\mathrm{x}}^3}$$ Answered by TheSupreme last updated on 24/May/21 $${sin}\left({sin}\left({sin}\left({x}\right)\right)\right)+\mathrm{1}−{cos}\left({x}^{\mathrm{2}}…