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4-Let-f-x-x-2-and-g-x-x-then-find-fog-x-and-gof-x-and-domain-of-fog-x-and-gof-are-they-they-the-same-explain-please-help-me-

Question Number 151804 by abdurehime last updated on 23/Aug/21 $$\mathrm{4}.\mathrm{Let}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{x}^{\mathrm{2}} \mathrm{and}\:\mathrm{g}\left(\mathrm{x}\right)=\sqrt{\mathrm{x}\:} \\ $$$$\mathrm{then}\:\mathrm{find}\:\mathrm{fog}\left(\mathrm{x}\right)\:\mathrm{and}\:\mathrm{gof}\left(\mathrm{x}\right)\:\mathrm{and} \\ $$$$\:\mathrm{domain}\:\mathrm{of}\left(\mathrm{fog}\right)\left(\mathrm{x}\right)\mathrm{and}\left(\mathrm{gof}\right) \\ $$$$\mathrm{are}\:\mathrm{they}\:\mathrm{they}\:\mathrm{the}\:\mathrm{same}?\mathrm{explain}. \\ $$$$ \\ $$$$\mathrm{please}\:\mathrm{help}\:\mathrm{me}??? \\ $$$$ \\ $$…

Question-20705

Question Number 20705 by mondodotto@gmail.com last updated on 01/Sep/17 Answered by dioph last updated on 01/Sep/17 $$\mathrm{40}\:=\:\frac{\Sigma{x}_{{i}} −\left(\mathrm{43}+\mathrm{35}\right)+\left(\mathrm{34}+\mathrm{53}\right)}{\mathrm{200}} \\ $$$$\mathrm{8000}\:=\:\Sigma{x}_{{i}} \:−\:\mathrm{78}\:+\:\mathrm{87} \\ $$$$\Sigma{x}_{{i}} \:=\:\mathrm{7991} \\…

Question-20625

Question Number 20625 by mondodotto@gmail.com last updated on 29/Aug/17 Commented by $@ty@m last updated on 30/Aug/17 $${it}\:{seems}\:{something}\:{missing}\:{in}\:{the}\: \\ $$$${question}\:{because}\:{in}\:'{if}'\:{part},\:{there} \\ $$$${is}\:'>{c}'\:{but}\:{there}\:{is}\:{no}\:'{c}'\:{in}'{prove}\:{that}'\:{part}. \\ $$ Answered by…

prove-4arccot5-arccot239-pi-4-

Question Number 151665 by Huy last updated on 22/Aug/21 $$\mathrm{prove}\:\mathrm{4arccot5}−\mathrm{arccot239}=\frac{\pi}{\mathrm{4}} \\ $$ Answered by puissant last updated on 22/Aug/21 $${tan}\left(\mathrm{4}{x}\right)=\frac{\mathrm{4}{tanx}−\mathrm{4}\left({tanx}\right)^{\mathrm{3}} }{\mathrm{1}−\mathrm{6}\left({tanx}\right)^{\mathrm{2}} +\left({tanx}\right)^{\mathrm{4}} } \\ $$$${tan}\left(\mathrm{4}{arctan}\frac{\mathrm{1}}{\mathrm{5}}\right)=\frac{\mathrm{120}}{\mathrm{119}}…

1-tan-1-1-tan-2-1-tan-45-2-n-1-find-n-

Question Number 20574 by khamizan833@gmail.com last updated on 28/Aug/17 $$\left(\mathrm{1}\:+\:\mathrm{tan}\:\mathrm{1}°\right)\left(\mathrm{1}\:+\:\mathrm{tan}\:\mathrm{2}°\right)…\left(\mathrm{1}\:+\:\mathrm{tan}\:\mathrm{45}°\right)\:=\:\mathrm{2}^{{n}+\mathrm{1}} \\ $$$$\mathrm{find}\:{n}\:! \\ $$ Answered by Tinkutara last updated on 28/Aug/17 $$\left(\mathrm{1}+\mathrm{tan}\:\mathrm{1}°\right)\left(\mathrm{1}+\mathrm{tan}\:\mathrm{44}°\right)=\mathrm{1}+\mathrm{tan}\:\mathrm{44}°+ \\ $$$$\mathrm{tan}\:\mathrm{1}°+\mathrm{tan}\:\mathrm{1}°\mathrm{tan}\:\mathrm{44}° \\…

Question-20561

Question Number 20561 by mondodotto@gmail.com last updated on 28/Aug/17 Answered by mind is power last updated on 07/Nov/19 $$\mathrm{ln}\left(\frac{\mathrm{x}+\mathrm{1}}{\mathrm{x}−\mathrm{1}}\right)=\mathrm{ln}\left(\frac{\mathrm{1}+\frac{\mathrm{1}}{\mathrm{x}}}{\mathrm{1}−\frac{\mathrm{1}\:}{\mathrm{x}}}\right) \\ $$$$\mathrm{ln}\left(\mathrm{1}+\mathrm{t}\right)=\underset{\mathrm{n}\geqslant\mathrm{1}} {\sum}\left(−\mathrm{1}\right)^{\mathrm{n}−\mathrm{1}} .\frac{\mathrm{t}^{\mathrm{n}} }{\mathrm{n}}\:\:\mathrm{if}\:\mid\mathrm{t}\mid<\mathrm{1} \\…