Find the values of k so that the function f is continuous at the indicated point in`f(x)={{:(k x+1, ifxlt=5),( 3x-5, ifx >5):}` at `x = 5`

Explanation

To find the values of \( k \) so that the function \( f \) is continuous at \( x = 5 \), we need to ensure that the left-hand limit and right-hand limit at \( x = 5 \) are equal to the value of the function at that point.

The function is defined as:
\[
f(x) =
\begin{cases}
kx + 1 & \text{if } x \leq 5 \\
3x - 5 & \text{if } x > 5
...