Category: Relation and Functions

Question Number 85425 by john santu last updated on 22/Mar/20 $$rangeoffunction$$$$y=\frac{\mid x-1\mid }{x+3}$$ Answered by john santu last updated on 22/Mar/20 $${for}\:{x}\:\geqslant\mathrm{1}\:\Rightarrow\:{y}\:=\:\frac{{x}−\mathrm{1}}{{x}+\mathrm{3}} \…

Question Number 85233 by jagoll last updated on 20/Mar/20 $$\mathrm{what}\mathrm{is}\mathrm{domain}\mathrm{of}\mathrm{x}\mathrm{for}$$$$\mathrm{f}\left(\mathrm{x}\right)+2\mathrm{f}(1-\mathrm{x})={\mathrm{x}}^2$$ Commented by jagoll last updated on 20/Mar/20 $$\mathrm{replace}1-\mathrm{x}\mathrm{by}\mathrm{x}$$$$\mathrm{f}\left(\mathrm{1}−\mathrm{x}\right)+\mathrm{2f}\left(\mathrm{x}\right)\:=\:\left(\mathrm{1}−\mathrm{x}\right)^{\mathrm{2}} \:\left(\mathrm{ii}\right)…

Question Number 85164 by mathmax by abdo last updated on 19/Mar/20 $$calculate\sum _{n=0}^{\mathrm{\infty }}arctan\left(\frac{1}{n^2+n+1}\right)$$ Commented by Cmr 237 last updated on 19/Mar/20…

Question Number 85163 by mathmax by abdo last updated on 19/Mar/20 $$calculate\sum _{n=1}^{\mathrm{\infty }}arctan\left(\frac{1}{n^2+n}\right)$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 19409 by Tinkutara last updated on 10/Aug/17 $$\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{the}\mathrm{squares}\mathrm{of}\mathrm{the}$$$$\mathrm{roots}\mathrm{of}\mathrm{the}\mathrm{equation}{x}^2-7\left[x\right]+5=0?$$$$(\mathrm{Here}\left[x\right]\mathrm{denotes}\mathrm{the}\mathrm{greatest}\mathrm{integer}$$$$\mathrm{less}\mathrm{than}\mathrm{or}\mathrm{equal}\mathrm{to}x.\mathrm{For}\mathrm{example}$$$$[3.4]=3\mathrm{and}[-2.3]=-3.)$$ Commented by mrW1 last…