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Let f(x) = x/(x-5). Find a function y = g(x) so that (f o g)(x) = 2x.
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\[f(g(x))=2x\]\[f(g(x))=\frac{ g(x) }{ g(x)-5 }\]\[\frac{ g(x) }{ g(x)-5 }=2x\]\[g(x)=2x g(x)-10x\]\[(2x-1)g(x)=10x\]\[g(x)=\frac{ 10x }{ 2x-1 }\]
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