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f-x-3x-1-g-x-2x-3-a-fog-x-b-gof-x-




Question Number 81596 by zainal tanjung last updated on 14/Feb/20
f(x)=3x+1 ,  g(x)=2x+3  a). fog(x)=....  b). gof(x)=....
$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{3x}+\mathrm{1}\:,\:\:\mathrm{g}\left(\mathrm{x}\right)=\mathrm{2x}+\mathrm{3} \\ $$$$\left.\mathrm{a}\right).\:\mathrm{fog}\left(\mathrm{x}\right)=…. \\ $$$$\left.\mathrm{b}\right).\:\mathrm{gof}\left(\mathrm{x}\right)=…. \\ $$
Commented by Tony Lin last updated on 14/Feb/20
f○g(x)=3(2x+3)+1=6x+10  g○f(x)=2(3x+1)+3=6x+5
$${f}\circ{g}\left({x}\right)=\mathrm{3}\left(\mathrm{2}{x}+\mathrm{3}\right)+\mathrm{1}=\mathrm{6}{x}+\mathrm{10} \\ $$$${g}\circ{f}\left({x}\right)=\mathrm{2}\left(\mathrm{3}{x}+\mathrm{1}\right)+\mathrm{3}=\mathrm{6}{x}+\mathrm{5} \\ $$
Commented by Zainal Arifin last updated on 14/Feb/20
You are right!
$$\mathrm{You}\:\mathrm{are}\:\mathrm{right}! \\ $$

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