Let $$f ( x ) = \left\{ \begin{array} { c c } x - 4 & \text { if } x \leq 5 \\k x ^ { 2 } - 24 x + 46 & \text { if } x > 5\end{array} \right.$$

Multiple Choice

Let
$$f ( x ) = \left\{ \begin{array} { c c } x - 4 & \text { if } x \leq 5 \\k x ^ { 2 } - 24 x + 46 & \text { if } x > 5\end{array} \right.$$
Find the value of $k$ that will make $f$ continuous on $( - \infty , \infty )$ .

A) 5
B) 46
C) $- 4$
D) 3