Menu Close

Category: Relation and Functions

If-f-2x-1-g-3-x-x-f-3x-5-x-1-2g-2x-1-x-1-x-x-1-for-every-x-R-x-1-Find-f-x-

Question Number 10987 by Joel576 last updated on 05/Mar/17 $$\mathrm{If}\: \\ $$$$\bullet\:{f}\left(\mathrm{2}{x}\:+\:\mathrm{1}\right)\:+\:{g}\left(\mathrm{3}\:−\:{x}\right)\:=\:{x} \\ $$$$\bullet\:{f}\left(\frac{\mathrm{3}{x}\:+\:\mathrm{5}}{\:{x}\:+\:\mathrm{1}}\right)\:+\:\mathrm{2}{g}\left(\frac{\mathrm{2}{x}\:+\:\mathrm{1}}{{x}\:+\:\mathrm{1}}\right)\:=\:\frac{{x}}{{x}\:+\:\mathrm{1}} \\ $$$$\mathrm{for}\:\mathrm{every}\:{x}\:\in\:\mathbb{R},\:\:{x}\:\neq\:−\mathrm{1} \\ $$$$\mathrm{Find}\:{f}\left({x}\right)\:!! \\ $$ Answered by ajfour last updated…

calculate-tan-3x-interms-of-tanx-

Question Number 76497 by mathmax by abdo last updated on 27/Dec/19 $${calculate}\:{tan}\left(\mathrm{3}{x}\right)\:{interms}\:{of}\:{tanx} \\ $$ Answered by Rio Michael last updated on 27/Dec/19 $${tan}\mathrm{3}{x}\:=\:{tan}\left(\mathrm{2}{x}\:+\:{x}\right)\:=\:\frac{{tan}\mathrm{2}{x}\:+\:{tanx}}{\mathrm{1}−{tan}\mathrm{2}{xtanx}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\frac{\frac{\mathrm{2}{tanx}}{\mathrm{1}−{tan}^{\mathrm{2}}…

simplfy-f-x-tan-arcsinx-and-g-x-tan-arcosx-is-real-x-1-1-

Question Number 142021 by mathmax by abdo last updated on 25/May/21 $$\mathrm{simplfy}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{tan}\left(\alpha\:\mathrm{arcsinx}\right) \\ $$$$\mathrm{and}\:\mathrm{g}\left(\mathrm{x}\right)=\mathrm{tan}\left(\alpha\:\mathrm{arcosx}\right)\:\:\alpha\:\mathrm{is}\:\mathrm{real} \\ $$$$\mathrm{x}\in\left[−\mathrm{1},\mathrm{1}\right] \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Suppose-that-f-x-1-x-1-and-g-x-4-x-1-Find-the-domain-of-each-of-the-composition-a-f-o-g-b-f-o-f-

Question Number 10887 by Saham last updated on 28/Feb/17 $$\mathrm{Suppose}\:\mathrm{that}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{1}}{\mathrm{x}\:+\:\mathrm{1}}\:\mathrm{and}\:\mathrm{g}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{4}}{\mathrm{x}\:+\:\mathrm{1}}\:. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{domain}\:\mathrm{of}\:\mathrm{each}\:\mathrm{of}\:\mathrm{the}\:\mathrm{composition}\: \\ $$$$\left(\mathrm{a}\right)\:\mathrm{f}\:\mathrm{o}\:\mathrm{g}\:\:\:\left(\mathrm{b}\right)\:\:\mathrm{f}\:\mathrm{o}\:\mathrm{f} \\ $$ Answered by geovane10math last updated on 28/Feb/17 $$\mathrm{I}\:\mathrm{wrote}\:\mathrm{an}\:\mathrm{answer} \\…

If-f-x-3-2x-2-3x-5-find-f-5-

Question Number 10874 by Saham last updated on 28/Feb/17 $$\mathrm{If}\:\:\mathrm{f}\left(\mathrm{x}\:+\:\mathrm{3}\right)\:=\:\mathrm{2x}^{\mathrm{2}} \:−\:\mathrm{3x}\:+\:\mathrm{5}.\:\mathrm{find}\:\:\:\mathrm{f}\left(\mathrm{5}\right) \\ $$ Answered by ridwan balatif last updated on 28/Feb/17 $$\mathrm{way}\:\mathrm{1} \\ $$$$\mathrm{let}:\:\mathrm{x}+\mathrm{3}=\mathrm{a}\rightarrow\mathrm{a}−\mathrm{3}=\mathrm{x},\mathrm{then} \\…

Write-and-graph-the-equation-of-the-graph-of-y-sin-pix-It-is-stretched-up-by-a-factor-of-5-and-shifted-1-2-unit-to-the-right-Help-me-please-

Question Number 141937 by cesarL last updated on 24/May/21 $${Write}\:{and}\:{graph}\:{the}\:{equation}\:{of}\:{the}\:{graph}\:{of}\:{y}={sin}\left(\pi{x}\right) \\ $$$${It}\:{is}\:{stretched}\:{up}\:{by}\:{a}\:{factor}\:{of}\:\mathrm{5}\:{and}\:{shifted}\:\frac{\mathrm{1}}{\mathrm{2}}\:{unit}\:{to}\:{the}\:{right} \\ $$$${Help}\:{me}\:{please} \\ $$$$ \\ $$ Commented by MJS_new last updated on 25/May/21…

let-f-t-0-logx-x-2-t-2-dx-t-gt-0-1-calculate-f-n-t-and-f-n-0-2-developp-f-at-integr-serie-

Question Number 141933 by mathmax by abdo last updated on 24/May/21 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{t}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{logx}}{\mathrm{x}^{\mathrm{2}} \:+\mathrm{t}^{\mathrm{2}} }\mathrm{dx}\:\:\:\left(\mathrm{t}>\mathrm{0}\right) \\ $$$$\left.\mathrm{1}\right)\mathrm{calculate}\:\mathrm{f}^{\left(\mathrm{n}\right)} \left(\mathrm{t}\right)\:\:\mathrm{and}\:\mathrm{f}^{\left(\mathrm{n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right)\:\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\mathrm{integr}\:\mathrm{serie} \\ $$ Commented…

calculate-lim-x-0-sin-sin-sinx-1-cos-x-2-x-3-

Question Number 141932 by mathmax by abdo last updated on 24/May/21 $$\mathrm{calculate}\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{0}} \:\frac{\mathrm{sin}\left(\mathrm{sin}\left(\mathrm{sinx}\right)\right)+\mathrm{1}−\mathrm{cos}\left(\mathrm{x}^{\mathrm{2}} \right)}{\mathrm{x}^{\mathrm{3}} } \\ $$ Answered by TheSupreme last updated on 24/May/21 $${sin}\left({sin}\left({sin}\left({x}\right)\right)\right)+\mathrm{1}−{cos}\left({x}^{\mathrm{2}}…

Determine-if-the-numbers-1-5-8-are-in-the-range-of-the-fuctions-f-x-2x-if-2-x-lt-2-3-if-x-2-

Question Number 141935 by cesarL last updated on 24/May/21 $${Determine}\:{if}\:{the}\:{numbers}\:\mathrm{1},\:\mathrm{5},\:\mathrm{8}\: \\ $$$${are}\:{in}\:{the}\:{range}\:{of}\:{the}\:{fuctions} \\ $$$$ \\ $$$${f}\left({x}\right)=\begin{cases}{\mathrm{2}{x}\:\:\:\:\:\:{if}\:\:−\mathrm{2}\leqslant{x}<\mathrm{2}}\\{\mathrm{3}\:\:\:\:\:\:\:\:\:{if}\:\:\:\:{x}=\mathrm{2}}\end{cases} \\ $$$$ \\ $$ Terms of Service Privacy Policy…