Question Number 170461 by khadee last updated on 24/May/22
$${find}\:{tbe}\:{domain}\:{and}\:{range}\:{of}\:{the}\:{following}\:{functions} \\ $$$${y}=\mathrm{4}{x}/{x}^{\mathrm{2}} −\mathrm{4} \\ $$
Commented by mokys last updated on 24/May/22
$$ \\ $$$${x}^{\mathrm{2}} −\mathrm{4}=\mathrm{0}\Rightarrow{x}=\pm\mathrm{2} \\ $$$$ \\ $$$${Df}=\:{R}−\left\{\pm\mathrm{2}\right\} \\ $$
Answered by MathsFan last updated on 24/May/22
$${x}^{\mathrm{2}} −\mathrm{4}=\mathrm{0} \\ $$$${x}^{\mathrm{2}} =\mathrm{4} \\ $$$${x}=\pm\mathrm{2} \\ $$$${domain}=\left\{{x}\mid{x}\in{R},{except}\:{x}=\pm\mathrm{2}\right\} \\ $$