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f-x-x-g-x-2x-1-fog-x-f-2x-1-fog-x-2x-1-gof-x-g-x-gof-x-2-x-




Question Number 200007 by Hummayoun last updated on 12/Nov/23
f(x)=(√x)  g(x)=2x+1  fog(x)=f(2x+1)  fog(x)=(√(2x+1))  gof(x)=g((√(x)))  gof(x)=2(√x)
$${f}\left({x}\right)=\sqrt{{x}} \\ $$$${g}\left({x}\right)=\mathrm{2}{x}+\mathrm{1} \\ $$$${fog}\left({x}\right)={f}\left(\mathrm{2}{x}+\mathrm{1}\right) \\ $$$${fog}\left({x}\right)=\sqrt{\mathrm{2}{x}+\mathrm{1}} \\ $$$${gof}\left({x}\right)={g}\left(\sqrt{\left.{x}\right)}\right. \\ $$$${gof}\left({x}\right)=\mathrm{2}\sqrt{{x}} \\ $$

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