Category: Relation and Functions

Question Number 5234 by sanusihammed last updated on 02/May/16 $$Showthatf\left(x\right)=x^2.\mid x\mid =odd$$ Answered by prakash jain last updated on 02/May/16 $$a.x⩾0$$$${f}\left({x}\right)={x}^{\mathrm{2}} \centerdot{x}={x}^{\mathrm{3}}…

Question Number 136270 by EDWIN88 last updated on 20/Mar/21 $$\mathrm{What}\mathrm{is}\mathrm{range}\mathrm{of}\mathrm{function}\mathrm{f}\left(\mathrm{x}\right)=(\mathrm{x}+1)(\mathrm{x}+2)(\mathrm{x}+3)(\mathrm{x}+4)+1$$$$\mathrm{where}\mathrm{x}\in [-1,1]$$ Answered by mr W last updated on 20/Mar/21 $${f}\left({x}\right)=\left({x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{4}\right)\left({x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{6}\right)+\mathrm{1}…

Question Number 70596 by mathmax by abdo last updated on 06/Oct/19 $$caoculate{lim}_{x\to 0}\frac{cos\left(sin\left(x^2\right)\right)-1}{x^2}$$ Commented by mathmax by abdo last updated on…

Question Number 136124 by bramlexs22 last updated on 18/Mar/21 $$$$Given a quadratic function f(x) =3-4k-(k+3) x-x^2, where k is a constant, is always…

Question Number 136032 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{proof}\mathrm{the}\mathrm{existence}\mathrm{of}{\mathrm{x}}_1,{\mathrm{x}}_2,\dots .{\mathrm{x}}_{\mathrm{n}}\mathrm{integr}\mathrm{natural}/$$$$\frac{1}{{\mathrm{x}}_1}+\frac{1}{{\mathrm{x}}_2}+\dots +\frac{1}{{\mathrm{x}}_{\mathrm{n}}}=1\mathrm{with}{\mathrm{x}}_{\mathrm{i}}\ne {\mathrm{x}}_{\mathrm{j}}\mathrm{for}\mathrm{i}\ne \mathrm{j}$$ Terms…