Find the values of $c$ and $d$ that makes the following function continuous on $\mathbb{R}$
$$
f(x) = \begin{cases}
c + d \left( \frac{x^2 - 16}{x - 4} \right) & \text{if } x < 4 \\
17c(x - 4) - 20 \cos \left( \frac{3}{x - 4} \right) + 8 & \text{if } x > 4 \\
cx + d & \text{if } x = 4
\end{cases}
$$
Note: Give the exact answer but not the decimal approximation (for example, write 4/5 instead of 0.8).
Answer:
The values of $c$ and $d$ are
$c = $
$d = $
