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At which points is the following function continuous?

$$\begin{eqnarray*} f(x) = \begin{cases} 5x, &\text{if }x \in\mathbb Q, \\ x^2-6, &\text{if }x \notin\mathbb Q. \end{cases} \end{eqnarray*}$$

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    I've done nothing because I have no idea where to start from.2012-01-24
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    $Q$ is the set of rational number?2012-01-24
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    When is $5x = x^2-6$?2012-01-24
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    Where are the alternatives equal?2012-01-24
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    @Paul: Yes, I think so. it's not mentioned in the question.2012-01-24
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    @lhf: Only at $2$ and $3$ ?2012-01-24
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    @Gigili, no, -1 and 6.2012-01-24

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