Category: Relation and Functions

Question Number 149551 by puissant last updated on 06/Aug/21 Answered by Olaf_Thorendsen last updated on 06/Aug/21 $$a_n=\mathrm{P}\left(n\right)={an}^2+bn+c$$$$\forall{n}\in\mathbb{N},\:{a}_{{n}+\mathrm{1}} \:=\:\mathrm{3}{a}_{{n}} −{n}^{\mathrm{2}} +{n} \…

Question Number 83956 by jagoll last updated on 08/Mar/20 $$\mathrm{for}\mathrm{x}\in \mathbb{R}\mathrm{satisfy}\mathrm{the}\mathrm{equation}$$$$\mathrm{f}\left(\mathrm{x}\right)+3\mathrm{x}\mathrm{f}\left(\frac{1}{\mathrm{x}}\right)=2(\mathrm{x}+1)$$$$\mathrm{find}\mathrm{f}\left(2019\right).$$ Commented by mr W last updated on 08/Mar/20 $$\mathrm{f}\left(\mathrm{x}\right)+\mathrm{3x}\:\mathrm{f}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)\:=\:\mathrm{2}\left(\mathrm{x}+\mathrm{1}\right)\:\:\:…\left({i}\right)…

Question Number 18333 by ajfour last updated on 19/Jul/17 Commented by ajfour last updated on 19/Jul/17 $$\mathrm{In}\mathrm{answer}\mathrm{to}\mathrm{Q}.18327$$ Terms of Service Privacy Policy Contact:…

Question Number 83610 by john santu last updated on 04/Mar/20 $$\frac{1}{\mathrm{x}-1}+\frac{5}{6-3\sqrt{6+\mathrm{x}-{\mathrm{x}}^2}}>\frac{1}{1+\mid \mathrm{x}-1\mid }$$ Commented by john santu last updated on 04/Mar/20 $$\mathrm{ans}:[-2,-1)\cup (1,\frac{6}{5})\cup (2,3]$$…

Question Number 17895 by ajfour last updated on 12/Jul/17 Commented by ajfour last updated on 12/Jul/17 $$\mathrm{solution}\mathrm{to}\mathrm{Q}.17872$$$$\mathrm{which}\mathrm{said}:\mathrm{Solve}$$$$\mid \mathrm{x}-1\mid +\mid \mathrm{x}\mid +\mid \mathrm{x}+1\mid =\mathrm{x}+2$$ Commented by…