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Question-83372




Question Number 83372 by Power last updated on 01/Mar/20
Commented by mr W last updated on 01/Mar/20
goh(x)=x−2  ((5h(x))/(h(x)+1))=x−2  ⇒h(x)=((x−2)/(7−x))  hof(x)=(((2x−1)−2)/(7−(2x−1)))=((2x−3)/(8−2x))
$${goh}\left({x}\right)={x}−\mathrm{2} \\ $$$$\frac{\mathrm{5}{h}\left({x}\right)}{{h}\left({x}\right)+\mathrm{1}}={x}−\mathrm{2} \\ $$$$\Rightarrow{h}\left({x}\right)=\frac{{x}−\mathrm{2}}{\mathrm{7}−{x}} \\ $$$${hof}\left({x}\right)=\frac{\left(\mathrm{2}{x}−\mathrm{1}\right)−\mathrm{2}}{\mathrm{7}−\left(\mathrm{2}{x}−\mathrm{1}\right)}=\frac{\mathrm{2}{x}−\mathrm{3}}{\mathrm{8}−\mathrm{2}{x}} \\ $$

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