A rational composite

A rational composite

TGM Original

Let \(f(x)=\dfrac3{x+2}\) and \(g(x)=2x-1\). Find \(fg(x)\) and \(gf(x)\), giving each as a single fraction.

Solution:

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Answer:\(fg(x)=\dfrac3{2x+1}\); \(gf(x)=\dfrac{4-x}{x+2}\).

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