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What is the domain of the real-valued function $f(x)=\frac{2x-7}{\sqrt{x^2-5x+6}}$?

 Feb 21, 2021
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\(x^2-5x+6\ge 0 \)

\((x-2)(x-3)\ge 0 \iff x\le 2,\ x\ge 3\)

or \(\boxed{x \in (-\infty, 2] \cup [3, \infty)}\)

 Feb 21, 2021

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