Question Number 115885 by bemath last updated on 29/Sep/20
$${given}\:{f}\left(\frac{\mathrm{1}}{{x}}\right)+{f}\left(\mathrm{1}−{x}\right)={x}\:,\:{x}\neq\mathrm{0} \\ $$$${find}\:\mathrm{2}{f}\left({x}\right) \\ $$$$\left({a}\right)\:\frac{\mathrm{1}+{x}^{\mathrm{2}} +{x}^{\mathrm{3}} }{{x}^{\mathrm{2}} −{x}} \\ $$$$\left({b}\right)\:\frac{{x}^{\mathrm{2}} −\mathrm{1}−{x}^{\mathrm{3}} }{{x}^{\mathrm{2}} −{x}} \\ $$$$\left({c}\right)\:\frac{{x}^{\mathrm{2}} −{x}^{\mathrm{3}} }{{x}^{\mathrm{2}} +{x}} \\ $$$$\left({d}\right)\:\frac{{x}−{x}^{\mathrm{3}} }{{x}^{\mathrm{2}} −{x}} \\ $$$$\left({e}\right)\:\frac{\mathrm{1}+{x}^{\mathrm{2}} −{x}^{\mathrm{3}} }{{x}^{\mathrm{2}} +{x}} \\ $$
Answered by bobhans last updated on 02/Oct/20
