Determine the value of `k` for which the following function is continuous at `x=3.` `f(x)={(x^2-9)/(x-3)` ,`x!=3` and k when `x=3`

Explanation

To determine the value of \( k \) for which the function

\[
f(x) =
\begin{cases}
\frac{x^2 - 9}{x - 3} & \text{if } x \neq 3 \\
k & \text{if } x = 3
\end{cases}
...