Question Number 186572 by mustafazaheen last updated on 06/Feb/23
$${f}=\left\{\left(\mathrm{1},\mathrm{2}\right),\left(\mathrm{4},\mathrm{6}\right),\left(\mathrm{5},\mathrm{8}\right)\right\}\:\:{and}\:\:\:{g}=\left\{\left(\mathrm{1},\mathrm{7}\right),\left(\mathrm{2},\mathrm{4}\right),\left(\mathrm{5},\mathrm{8}\right)\right\} \\ $$$${the}\:{domain}\:{of}\:\:\:{f}\left({g}\left({x}\right)\right)\:\:\:{which}\:{number}\:{is}\:{not}\:{include}? \\ $$$$\left.\mathrm{1}\left.\right)\left.\mathrm{1}\left.\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}\right)\mathrm{2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{3}\right)\mathrm{5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{4}\right){all}\:{corect} \\ $$$${how}\:{is}\:{the}\:{solution}? \\ $$
Answered by ARUNG_Brandon_MBU last updated on 06/Feb/23
$${g}\left(\mathrm{1}\right)=\mathrm{7},\:{f}\left(\mathrm{7}\right)=\emptyset\: \\ $$$${g}\left(\mathrm{2}\right)=\mathrm{4},\:{f}\left(\mathrm{4}\right)=\mathrm{6} \\ $$$${g}\left(\mathrm{5}\right)=\mathrm{8},\:{f}\left(\mathrm{8}\right)=\emptyset \\ $$$$\Rightarrow{f}\mathrm{o}{g}\left({x}\right)=\left\{\left(\mathrm{2},\:\mathrm{6}\right)\right\} \\ $$
Commented by mustafazaheen last updated on 06/Feb/23
$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\upuparrows\:\:\:{I}\:{do}\:{not}\:{know}\:{this}\:{place}? \\ $$