A function $f$ is said to have a removable discontinuity at $a$ if:
1. $f$ is either not defined or not continuous at $a$.
2. $f(a)$ could either be defined or redefined so that the new function is continuous at $a$.

---

Let $f(x) =\frac{2x^2+4 x -16}{x-2}$.
Show that $f$ has a removable discontinuity at $2$ and determine the value for $f(2)$ that would make $f$ continuous at $2$.
Need to redefine $f(2)=$.