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Question Number 54504 by afachri last updated on 05/Feb/19
$$\boldsymbol{\mathrm{please}},\boldsymbol{\mathrm{Sir}}.\:\:\:\boldsymbol{\mathrm{Would}}\:\boldsymbol{\mathrm{u}}\:\boldsymbol{\mathrm{explain}}\:\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{me}}\:\boldsymbol{\mathrm{how}}\:? \\ $$$$\boldsymbol{\mathrm{if}}\:\:\boldsymbol{{f}}\left(\frac{\boldsymbol{{x}}}{\boldsymbol{{x}}\:−\:\mathrm{1}}\right)\:\:+\:\:\mathrm{2}\boldsymbol{{f}}\left(\frac{\boldsymbol{{x}}\:−\:\mathrm{1}}{\boldsymbol{{x}}}\right)\:\:=\:\:\frac{\boldsymbol{{x}}}{\boldsymbol{{x}}\:−\:\mathrm{1}}\:\:\:, \\ $$$$\boldsymbol{\mathrm{then}}\:\:\boldsymbol{{f}}\left(\boldsymbol{{x}}\right)\:\:\boldsymbol{\mathrm{is}}\:.... \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 05/Feb/19
$${f}\left({a}\right)+\mathrm{2}{f}\left(\frac{\mathrm{1}}{{a}}\right)={a}\:×\mathrm{2} \\ $$$${f}\left(\frac{\mathrm{1}}{{a}}\right)+\mathrm{2}{f}\left({a}\right)=\frac{\mathrm{1}}{{a}}\:\:×\mathrm{1} \\ $$$$ \\ $$$$\mathrm{2}{f}\left({a}\right)+\mathrm{4}{f}\left(\frac{\mathrm{1}}{{a}}\right)=\mathrm{2}{a} \\ $$$$\mathrm{2}{f}\left({a}\right)+{f}\left(\frac{\mathrm{1}}{{a}}\right)=\frac{\mathrm{1}}{{a}} \\ $$$${so}\:\mathrm{3}{f}\left(\frac{\mathrm{1}}{{a}}\right)=\mathrm{2}{a}−\frac{\mathrm{1}}{{a}} \\ $$$$\mathrm{3}{f}\left(\frac{\mathrm{1}}{{a}}\right)=\left(\frac{\mathrm{2}}{\frac{\mathrm{1}}{{a}}}−\frac{\mathrm{1}}{{a}}\right) \\ $$$${f}\left(\frac{\mathrm{1}}{{a}}\right)=\frac{\mathrm{1}}{\mathrm{3}}\left(\frac{\mathrm{2}}{\frac{\mathrm{1}}{{a}}}−\frac{\mathrm{1}}{{a}}\right) \\ $$$${f}\left({x}\right)=\frac{\mathrm{1}}{\mathrm{3}}\left(\frac{\mathrm{2}}{{x}}−{x}\right) \\ $$
Commented by afachri last updated on 05/Feb/19
$${ahaaa}.\:{i}\:{was}\:{curious}\:{and}\:{getting}\:{stuck}\: \\ $$$${how}\:{to}\:{solve}\:{it}.\:{instead}\:{it}'{s}\:{simple}. \\ $$$${Thank}\:{You}\:{so}\:{much}\:{Mr}\:{Tanmay}.\: \\ $$
Commented by tanmay.chaudhury50@gmail.com last updated on 05/Feb/19
$${most}\:{welcome}\:{sir}... \\ $$
Commented by Joel578 last updated on 06/Feb/19
$$\mathrm{Mr}.\:\mathrm{Afachri},\:\mathrm{are}\:\mathrm{u}\:\mathrm{from}\:\mathrm{Indonesia}? \\ $$
Commented by afachri last updated on 08/Feb/19
$$\mathrm{yes}\:\mathrm{i}\:\mathrm{am}\:\boldsymbol{\mathrm{M}}{r}\:\boldsymbol{\mathrm{Joel}}.\:\boldsymbol{\mathrm{A}}{re}\:{you}\:?? \\ $$
Commented by Joel578 last updated on 08/Feb/19
$$\mathrm{wah}\:\mathrm{sama},\:\mathrm{hehehe} \\ $$
Commented by afachri last updated on 08/Feb/19
$${aseekk}\:{ketemu}\:{sama}\:{sama}\:{di}\:{sini}.\: \\ $$$${mohon}\:{bimbingannya}.\:{Main}\:{brainly} \\ $$$${juga}\:?? \\ $$$$ \\ $$