Category: Relation and Functions

Question Number 56921 by rahul 19 last updated on 26/Mar/19 $$Given:$$$$f\left(xy\right)=f\left(x\right).f\left(y\right)\mathrm{\forall }x,yϵ\mathbb{R}andf\left(0\right)\ne 0$$$$thenf\left(x\right)=?$$ Answered by mr W last updated on 26/Mar/19…

Question Number 56864 by Joel578 last updated on 25/Mar/19 $$\mathrm{Find}\mathrm{the}\mathrm{solution}\mathrm{of}\mathrm{recurrence}\mathrm{relation}$$$$a_n=2a_{n-1}+3a_{n-2},\mathrm{with}{a}_0=1,a_1=2$$ Commented by maxmathsup by imad last…

Question Number 56830 by maxmathsup by imad last updated on 24/Mar/19 $$let{A}_n=\prod _{k=0}^{n-1}cos\left(kx\right)$$$$findasimpleformof{A}_n$$ Terms of Service Privacy Policy Contact:…

Question Number 56828 by maxmathsup by imad last updated on 24/Mar/19 $$studytheconvergenceof{u}_{n+1}=2\sqrt{1+u_n^2}-u_n-1with{u}_0=0$$ Commented by maxmathsup by imad last…

Question Number 122337 by benjo_mathlover last updated on 15/Nov/20 $$Finddomainoffunction$$$$r\left(x\right)=\mathrm{arc}\cos \left(\frac{3}{4+2\sin x}\right)$$ Commented by liberty last updated on 16/Nov/20 $$\mathrm{The}\mathrm{function}\mathrm{defined}\mathrm{for}\mathrm{values}\mathrm{of}\mathrm{x}$$$$\mathrm{for}\:\mathrm{which}\:−\mathrm{1}\leqslant\:\frac{\mathrm{3}}{\mathrm{4}+\mathrm{2sin}\:\mathrm{x}}\:\leqslant\:\mathrm{1}\:. \…