Find the relationship between \( a \) and \( b \) so that the function \( f \) defined by \( f(x...

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Find the relationship between \( a \) and \( b \) so that the function \( f \) defined by \( f(x)=\left\{\begin{array}{l}a x+1, \text { if } x \leq 3 \\ b x+3, \text { if } x3\end{array}\right. \) is continuous at \( x=3 \).
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