# Math Help - Removable or Non Removable?

1. ## Removable or Non Removable?

"Find the x-values(if any) at which f is not continuous. Which of the discontinuites are removable?"

the funtion is f(x)=x-3/x^2-9

Ok so I know its discontinuous at 3. But is it removable or non removable? and why? Do you need to know the graph to determine this? Thanks.

2. Notice the difference of two squares in the denominator?.

$\frac{x-3}{(x-3)(x+3)}$

Now, see it?. You got a hole at x=3

3. would that be removable or non? and why? Thanks.

4. It is removeable.
$f(x) = \left\{ {\begin{array}{lr}
{\frac{{x - 3}}{{x^2 - 9}}} & {x \ne 3} \\
{\frac{1}{6}} & {x = 3} \\
\end{array}} \right.

$

5. Thanks