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Category: Algebra

Let-f-x-x-1-2-for-all-x-1-If-g-x-is-the-function-whose-graph-is-the-reflection-of-the-graph-of-f-x-with-respect-to-the-line-y-x-then-g-x-is-equal-to-

Question Number 129622 by Ar Brandon last updated on 16/Jan/21 $$\mathrm{Let}\:\mathrm{f}\left(\mathrm{x}\right)=\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} \:\mathrm{for}\:\mathrm{all}\:\mathrm{x}\geqslant−\mathrm{1}.\:\mathrm{If}\:\mathrm{g}\left(\mathrm{x}\right)\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{function}\:\mathrm{whose}\:\mathrm{graph}\:\mathrm{is}\:\mathrm{the}\:\mathrm{reflection}\:\mathrm{of}\:\mathrm{the}\:\mathrm{graph} \\ $$$$\mathrm{of}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{with}\:\mathrm{respect}\:\mathrm{to}\:\mathrm{the}\:\mathrm{line}\:\mathrm{y}=\mathrm{x},\:\mathrm{then}\:\mathrm{g}\left(\mathrm{x}\right)\:\mathrm{is} \\ $$$$\mathrm{equal}\:\mathrm{to}… \\ $$ Commented by mr W last…

let-and-the-roots-of-x-3-2x-1-0-find-the-value-of-A-2-2-2-and-B-3-3-3-

Question Number 64066 by mathmax by abdo last updated on 12/Jul/19 $${let}\:\alpha\:,\beta\:{and}\:\lambda\:{the}\:{roots}\:{of}\:{x}^{\mathrm{3}} +\mathrm{2}{x}−\mathrm{1}\:=\mathrm{0}\:{find}\:{the}\:{value}\:{of} \\ $$$${A}\:=\alpha^{\mathrm{2}} \:+\beta^{\mathrm{2}} \:+\lambda^{\mathrm{2}} \:{and}\:\:{B}\:=\alpha^{\mathrm{3}} \:+\beta^{\mathrm{3}} \:+\lambda^{\mathrm{3}} \:. \\ $$ Answered by…

2x-3-2-25-x-3-2-2-

Question Number 64061 by mmkkmm000m last updated on 12/Jul/19 $$\left(\mathrm{2}{x}+\mathrm{3}\right)^{\mathrm{2}} +\mathrm{25}/\left({x}+\mathrm{3}\right)^{\mathrm{2}} =\sqrt{\mathrm{2}} \\ $$ Answered by MJS last updated on 12/Jul/19 $$\mathrm{no}\:\mathrm{real}\:\mathrm{solutions} \\ $$$$\mathrm{no}\:\mathrm{useable}\:\mathrm{exact}\:\mathrm{solutions} \\…

y-sin-x-sin-x-sin-x-dy-dx-

Question Number 129595 by Adel last updated on 16/Jan/21 $$\mathrm{y}=\sqrt{\mathrm{sin}\:\mathrm{x}+\sqrt{\mathrm{sin}\:\mathrm{x}+\sqrt{\mathrm{sin}\:\mathrm{x}+………….\infty}}} \\ $$$$ \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}=? \\ $$ Answered by ajfour last updated on 16/Jan/21 $${y}^{\mathrm{2}} −\mathrm{sin}\:{x}={y}…