A function $\displaystyle {f{{\left({x}\right)}}}$ is said to have a removable discontinuity at $\displaystyle {x}={a}$ if:
1. $\displaystyle {f}$ is either not defined or not continuous at $\displaystyle {x}={a}$.
2. $\displaystyle {f{{\left({a}\right)}}}$ could either be defined or redefined so that the new function IS continuous at $\displaystyle {x}={a}$.

Let $\displaystyle {f{{\left({x}\right)}}}={\frac{{{2}{x}^{{2}}+{2}{x}-{24}}}{{{x}-{3}}}}$
Show that $\displaystyle {f{{\left({x}\right)}}}$ has a removable discontinuity at $\displaystyle {x}={3}$ and determine what value for $\displaystyle {f{{\left({3}\right)}}}$ would make $\displaystyle {f{{\left({x}\right)}}}$ continuous at $\displaystyle {x}={3}$.
Must define $\displaystyle {f{{\left({3}\right)}}}=$Preview Question 6   .