Category: Relation and Functions

Question Number 56828 by maxmathsup by imad last updated on 24/Mar/19 $${study}\:{the}\:{convergence}\:{of}\:{u}_{{n}+\mathrm{1}} =\mathrm{2}\sqrt{\mathrm{1}+{u}_{{n}} ^{\mathrm{2}} }−{u}_{{n}} −\mathrm{1}\:\:\:\:{with}\:{u}_{\mathrm{0}} =\mathrm{0} \\ $$ Commented by maxmathsup by imad last…

Question Number 122337 by benjo_mathlover last updated on 15/Nov/20 $$\:{Find}\:{domain}\:{of}\:{function} \\ $$$$\:{r}\left({x}\right)\:=\:\mathrm{arc}\:\mathrm{cos}\:\:\left(\frac{\mathrm{3}}{\mathrm{4}+\mathrm{2sin}\:{x}}\right) \\ $$ 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}\:. \\…

Question Number 122128 by bemath last updated on 14/Nov/20 $$\:{For}\:{which}\:{numbers}\:{a},{b},{c},{d}\: \\ $$$${will}\:{the}\:{function}\: \\ $$$$\:\:\:\:\psi\left({x}\right)=\:\frac{{ax}+{b}}{{cx}+{d}}\:{satisfy}\:\psi\left(\psi\left({x}\right)\right)=\:{x}\: \\ $$$${for}\:{all}\:{x}. \\ $$ Commented by liberty last updated on 14/Nov/20…

Question Number 122074 by bemath last updated on 13/Nov/20 $$\:{Given}\:{f}\::{R}\rightarrow{R}\:{such}\:{that}\: \\ $$$$\:{x}^{\mathrm{2}} \:{f}\left({x}\right)+{f}\left(\mathrm{1}−{x}\right)\:=\:\mathrm{2}{x}−{x}^{\mathrm{4}} \\ $$$$\:{find}\:{f}\left({x}\right). \\ $$ Answered by bobhans last updated on 14/Nov/20 $$\left(\mathrm{1}\right)\:{x}^{\mathrm{2}}…

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