Category: Relation and Functions

Question Number 87784 by john santu last updated on 06/Apr/20 $$\mathrm{Given}\mathrm{f}(\mathrm{x},\mathrm{y})=\mathrm{y}\mathrm{f}(\mathrm{y},\mathrm{x})+\mathrm{x}$$$$\mathrm{find}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{f}(1,2).$$ Commented by john santu last updated on 06/Apr/20 $$\left(\mathrm{i}\right)\:\mathrm{f}\left(\mathrm{1},\mathrm{2}\right)\:=\:\mathrm{2f}\left(\mathrm{2},\mathrm{1}\right)+\mathrm{1} \…

Question Number 87530 by mathmax by abdo last updated on 04/Apr/20 $$1)calculate{U}_n={\int }_0^{\mathrm{\infty }}{e}^{-n\left[x\right]}sin\left(\frac{\pi x}{n}\right)dxnnaturalandn⩾1$$$$2)determinenatureof\mathrm{\Sigma }{U}_n$$ Commented by mathmax by abdo…

Question Number 87459 by john santu last updated on 04/Apr/20 $$\mathrm{find}\mathrm{all}\mathrm{functions}\mathrm{f}:\mathbb{R}\to \mathbb{R}$$$$\mathrm{so}\mathrm{that}(\mathrm{x}-\mathrm{y})\mathrm{f}(\mathrm{x}+\mathrm{y})-(\mathrm{x}+\mathrm{y})\mathrm{f}(\mathrm{x}-\mathrm{y})=$$$$4\mathrm{xy}({\mathrm{x}}^2-{\mathrm{y}}^2)\mathrm{\forall }\mathrm{x},\mathrm{y}\in \mathbb{R}$$ Terms of Service Privacy Policy Contact:…

Question Number 152799 by nadovic last updated on 01/Sep/21 $$\mathrm{Given}\mathrm{that}f\circ g=\frac{x^2}{2x^2-x+4}\mathrm{and}$$$$g\left(x\right)=\frac{x}{x-2},\mathrm{find}f\left(x\right).$$ Commented by otchereabdullai@gmail.com last updated on 08/Sep/21 $$\mathrm{nice}! \…

Question Number 21692 by Joel577 last updated on 01/Oct/17 $$\mathrm{Let}f\left(x\right)\mathrm{is}\mathrm{a}\mathrm{quadratic}\mathrm{equation}\mathrm{and}$$$$x^2-2x+3⩽f\left(x\right)⩽2x^2-4x+4$$$$\mathrm{for}\mathrm{every}x\in \mathbb{R}$$$$\mathrm{If}f\left(5\right)=26,\mathrm{then}f\left(7\right)\mathrm{is}\mathrm{equal}\mathrm{to}\dots$$$$$$$$\left(A\right)38\left(D\right)74$$$$\left({B}\right)\:\mathrm{50}\:\:\:\:\:\:\:\:\:\left({E}\right)\:\mathrm{92} \…