Determining point of discontinuity of a rational function with a root

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For what values of x would the following function be continuous: $$\frac{\sqrt{3x-6}}{x-5}$$

I know for sure that $x$ cannot equal $5$ because that makes the denominator undefined and then there would be an asymptote there which is an infinite discontinuity. However, I'm not sure if $x$ being less than $2$ makes the function discontinuous as well.