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f-1-2-4-6-5-8-and-g-1-7-2-4-5-8-the-domain-of-f-g-x-which-number-is-not-include-1-1-2-2-3-5-4-all-corect-how-is-the-solution-




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

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