Mathematics

Mathematics

Problem

Let f(x)=2x−1f(x)=\sqrt{2x-1}, g(x)=x2−9g(x)=x^{2}-9 and h(x)=1x−1h(x)=\dfrac{1}{x-1}. Define p(x)=f(x)g(x)+h(x).p(x)=\frac{f(x)}{g(x)}+h(x). Determine the domain of p(x)p(x).

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