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Category: Algebra

If-f-R-R-is-a-polynomial-function-which-satisfy-the-equation-f-f-x-f-x-12x-x-R-then-find-f-x-

Question Number 22133 by Tinkutara last updated on 11/Oct/17 $$\mathrm{If}\:{f}\::\:{R}^{+} \:\rightarrow\:{R}^{+} \:\mathrm{is}\:\mathrm{a}\:\mathrm{polynomial}\:\mathrm{function} \\ $$$$\mathrm{which}\:\mathrm{satisfy}\:\mathrm{the}\:\mathrm{equation}\:{f}\left({f}\left({x}\right)\right)\:+ \\ $$$${f}\left({x}\right)\:=\:\mathrm{12}{x}\:\forall\:{x}\:\in\:{R}^{+} ,\:\mathrm{then}\:\mathrm{find}\:{f}\left({x}\right). \\ $$ Commented by Rasheed.Sindhi last updated on…

Question-153203

Question Number 153203 by mathdanisur last updated on 05/Sep/21 Answered by Kamel last updated on 05/Sep/21 $${f}\left({x}\right)=\frac{\mathrm{1}−\sqrt{\mathrm{1}−\mathrm{2}{x}}}{\mathrm{2}},{f}_{{n}} ^{−\mathrm{1}} =\underset{…………… {n}\:{times} ………} {{f}^{−\mathrm{1}} \circ{f}^{−\mathrm{1}} \circ{f}^{−\mathrm{1}} \circ…\circ{f}^{−\mathrm{1}}…

1-sin-1-8-pi-i-cos-1-8-pi-1-sin-1-8-pi-i-cos-1-8-pi-

Question Number 87656 by M±th+et£s last updated on 05/Apr/20 $$\frac{\mathrm{1}+{sin}\left(\frac{\mathrm{1}}{\mathrm{8}}\right)\pi+{i}\:{cos}\left(\frac{\mathrm{1}}{\mathrm{8}}\right)\pi}{\mathrm{1}+{sin}\left(\frac{\mathrm{1}}{\mathrm{8}}\right)\pi−{i}\:{cos}\left(\frac{\mathrm{1}}{\mathrm{8}}\right)\pi}=? \\ $$ Commented by Tony Lin last updated on 05/Apr/20 $${let}\:{sin}\frac{\pi}{\mathrm{8}}+{icos}\frac{\pi}{\mathrm{8}}={z}\:,\mid{z}\mid=\mathrm{1} \\ $$$$\frac{\mathrm{1}+{z}}{\mathrm{1}+\bar {{z}}} \\…

cosh-15-

Question Number 22102 by Parvez akhter last updated on 11/Oct/17 $$\mathrm{cosh}\:\left(\mathrm{15}\right) \\ $$ Answered by $@ty@m last updated on 11/Oct/17 $$\mathrm{cos}\:{hx}=\frac{{e}^{{x}} +{e}^{−{x}} }{\mathrm{2}} \\ $$$$\mathrm{cos}\:{h}\left(\mathrm{15}\right)=\frac{{e}^{\mathrm{15}}…

Question-153168

Question Number 153168 by liberty last updated on 05/Sep/21 Answered by EDWIN88 last updated on 05/Sep/21 $${let}\:{y}={u}^{\mathrm{2}} \:\&\:{x}={v}^{\mathrm{2}} \\ $$$$\left(\mathrm{1}\right)\sqrt{{v}^{\mathrm{2}} +{u}}\:+\sqrt{{v}^{\mathrm{2}} −{u}}\:=\:\mathrm{2} \\ $$$$\Rightarrow\mathrm{2}{v}^{\mathrm{2}} \:+\mathrm{2}\sqrt{{v}^{\mathrm{4}}…

If-P-x-aX-3-bX-c-Q-X-a-0-has-the-roots-x-1-x-2-and-x-3-such-that-x-1-x-2-x-3-then-prove-that-x-1-0-if-and-only-if-b-c-

Question Number 153161 by mathdanisur last updated on 05/Sep/21 $$\mathrm{If}\:\:\mathrm{P}\left(\mathrm{x}\right)=\mathrm{aX}^{\mathrm{3}} +\mathrm{bX}+{c}\:\in\:\mathrm{Q}\left[\mathrm{X}\right]\:\:;\:\:\left(\mathrm{a}\neq\mathrm{0}\right) \\ $$$$\mathrm{has}\:\mathrm{the}\:\mathrm{roots}\:\:\mathrm{x}_{\mathrm{1}} \:,\:\mathrm{x}_{\mathrm{2}} \:\:\mathrm{and}\:\:\mathrm{x}_{\mathrm{3}} \\ $$$$\mathrm{such}\:\mathrm{that}\:\:\mathrm{x}_{\mathrm{1}} \:=\:\mathrm{x}_{\mathrm{2}} \mathrm{x}_{\mathrm{3}} \\ $$$$\mathrm{then}\:\mathrm{prove}\:\mathrm{that}\:\mathrm{x}_{\mathrm{1}} \:=\:\mathrm{0}\:\mathrm{if}\:\mathrm{and}\:\mathrm{only}\:\mathrm{if}\:\mathrm{b}=\mathrm{c} \\ $$ Answered…

Find-the-set-x-x-b-a-b-a-2-b-2-a-gt-0-b-gt-0-

Question Number 153160 by mathdanisur last updated on 05/Sep/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{set}: \\ $$$$\left\{\:\mathrm{x}\:\mid\:\mathrm{x}\:=\:\frac{\mathrm{b}\centerdot\left(\mathrm{a}\:+\:\mathrm{b}\right)}{\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} }\:\:;\:\:\mathrm{a}>\mathrm{0}\:,\:\mathrm{b}>\mathrm{0}\right\} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com