Category: Relation and Functions

Question Number 203291 by zahaku last updated on 14/Jan/24 $$\text{You can't use 'macro parameter character \#' in math mode}$$$$2ifx=0$$$$studythecontinutyoffin0$$ Answered by esmaeil last updated on 15/Jan/24 $${f}\left({x}\right)=$$\{\begin{array}{l}1+\frac{\mid x\mid }{x}ifx\ne 0\\ 2ifx=0\end{array}$$\:\:\:…

Question Number 202795 by mathlove last updated on 03/Jan/24 $$iff(-1)=f\left(0\right)=f\left(2\right)=0andf\left(1\right)=6$$$$thenfindf\left(x\right)=?$$ Answered by AST last updated on 03/Jan/24 $$Iff\left(x\right)isapolynomial:x(x+1)(x-2)(x-4)$$ Answered…

Question Number 201848 by cortano12 last updated on 14/Dec/23 Answered by dimentri last updated on 14/Dec/23 $$1820=2^2\times 5\times 7\times 13$$$$\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{positive}\mathrm{factors}$$$$\:\mathrm{from}\:\mathrm{1820}\:=\:\underset{\mathrm{i}=\mathrm{0}} {\overset{\mathrm{5}} {\sum}}$$\left(\begin{array}{c}5\\ \mathrm{i}\end{array}\right)$$\:=\:\mathrm{2}^{\mathrm{5}} =\:\mathrm{32}…

Question Number 200973 by Mingma last updated on 27/Nov/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 199781 by cortano12 last updated on 09/Nov/23 $$$$ Answered by qaz last updated on 09/Nov/23 $$f\left(x\right)=\frac{2(1-2x)}{x(1-x)}-f\left(\frac{1}{1-x}\right)$$$$=\frac{2(1-2x)}{x(1-x)}-(\frac{2(1-\frac{2}{1-x})}{\frac{1}{1-x}(1-\frac{1}{1-x})}-f\left(\frac{1}{1-\frac{1}{1-x}}\right))$$$$=\frac{\mathrm{2}\left(\mathrm{1}−\mathrm{2}{x}\right)}{{x}\left(\mathrm{1}−{x}\right)}−\frac{\mathrm{2}\left(\mathrm{1}+{x}\right)\left(\mathrm{1}−{x}\right)}{{x}}+{f}\left(\mathrm{1}−\frac{\mathrm{1}}{{x}}\right) \…