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Category: Algebra

Given-that-the-function-f-R-R-is-defined-by-f-x-x-n-For-what-values-of-n-if-any-is-fof-f-f-For-each-of-these-values-of-n-find-fof-

Question Number 24764 by NECx last updated on 25/Nov/17 $${Given}\:{that}\:{the}\:{function}\:{f}:\mathbb{R}\rightarrow\mathbb{R} \\ $$$${is}\:{defined}\:{by}\:{f}\left({x}\right)={x}^{{n}} .{For}\:{what} \\ $$$${values}\:{of}\:{n},{if}\:{any},{is}\:{fof}={f}.{f}? \\ $$$${For}\:{each}\:{of}\:{these}\:{values}\:{of}\:{n}\:{find} \\ $$$${fof}. \\ $$ Answered by mrW1 last…

Question-24753

Question Number 24753 by math solver last updated on 25/Nov/17 Answered by iv@0uja last updated on 27/Nov/17 $$\left[\mathrm{11111}=\mathrm{41}×\mathrm{271}\right] \\ $$$${a}_{\mathrm{124}} =\mathrm{1111}+\mathrm{10}^{\mathrm{4}} ×\mathrm{11111}+\mathrm{10}^{\mathrm{9}} ×\mathrm{11111}+… \\ $$$$\:\:\:\:\:\:\:\:\:\:\:…+\mathrm{10}^{\mathrm{114}}…

If-a-function-f-is-defined-such-that-f-R-R-If-f-x-3x-2-x-2-5x-6-Find-the-i-domain-of-f-x-ii-range-of-f-x-

Question Number 24744 by NECx last updated on 25/Nov/17 $${If}\:{a}\:{function}\:{f}\:{is}\:{defined}\:{such}\:{that} \\ $$$${f}:\mathbb{R}\rightarrow\mathbb{R}.{If}\: \\ $$$$\:\:\:\:{f}\left({x}\right)=\frac{\mathrm{3}{x}−\mathrm{2}}{{x}^{\mathrm{2}} +\mathrm{5}{x}−\mathrm{6}}.{Find}\:{the}\: \\ $$$$\left({i}\right){domain}\:{of}\:{f}\left({x}\right) \\ $$$$\left({ii}\right){range}\:{of}\:{f}\left({x}\right) \\ $$ Answered by ajfour last…

m-2-n-2-n-2-m-2-m-n-4mn-m-3-n-3-

Question Number 155801 by cortano last updated on 05/Oct/21 $$\:\begin{cases}{\mathrm{m}^{\mathrm{2}} =\mathrm{n}+\mathrm{2}}\\{\mathrm{n}^{\mathrm{2}} =\mathrm{m}+\mathrm{2}}\end{cases}\:\Rightarrow\mathrm{m}\neq\mathrm{n} \\ $$$$\:\mathrm{4mn}−\mathrm{m}^{\mathrm{3}} −\mathrm{n}^{\mathrm{3}} =?\: \\ $$ Answered by Rasheed.Sindhi last updated on 05/Oct/21…

find-the-value-of-2-1-4-2-6-3-200-100-

Question Number 155802 by cortano last updated on 05/Oct/21 $$\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\:\mathrm{2}×\mathrm{1}!+\mathrm{4}×\mathrm{2}!+\mathrm{6}×\mathrm{3}!+…+\mathrm{200}×\mathrm{100}! \\ $$ Answered by talminator2856791 last updated on 05/Oct/21 $$\:\mathrm{use}\:\mathrm{the}\:\mathrm{information}\:\mathrm{in}\:\mathrm{the}\:\mathrm{post}\: \\ $$$$\:\mathrm{above}\:\mathrm{this}\:\mathrm{post}\:\mathrm{Q}.\mathrm{155803}: \\…

proof-that-n-1-10-n-n-11-1-

Question Number 155803 by cortano last updated on 05/Oct/21 $$\mathrm{proof}\:\mathrm{that}\: \\ $$$$\:\underset{\mathrm{n}=\mathrm{1}} {\overset{\mathrm{10}} {\sum}}\mathrm{n}×\mathrm{n}!\:=\:\mathrm{11}!−\mathrm{1} \\ $$ Answered by som(math1967) last updated on 05/Oct/21 $$\mathrm{1}×\mathrm{1}!+\mathrm{2}×\mathrm{2}!+\mathrm{3}×\mathrm{3}!+…+\mathrm{10}×\mathrm{10}!\:+\mathrm{1}−\mathrm{1} \\…