Find the relationship between a and b so that the function f defined by`f(x)={{:(a x+1, ifxlt=3),(b x+3,ifx >3):}` is continuous at `x = 3`.

Explanation

To find the relationship between \( a \) and \( b \) such that the function

\[
f(x) =
\begin{cases}
ax + 1 & \text{if } x \leq 3 \\
bx + 3 & \text{if } x > 3
\end{cases}
...