# How do you simplify and find the excluded value of  (r + 6) / (r^2 - r - 6)?

##### 1 Answer
Mar 30, 2016

the excluded values are : $r = - 2 \text{ and } r = + 3$

#### Explanation:

Given:$\text{ } \frac{r + 6}{{r}^{2} - r - 6}$

The denominator can be factorised giving

$\text{ } \frac{r + 6}{\left(r + 2\right) \left(r - 3\right)}$

The excluded values will be when the denominator equals zero

Set $\text{ } \left(r + 2\right) \left(r - 3\right) = 0$

So the excluded values are : $r = - 2 \text{ and } r = + 3$
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In higher mathematics these are called asymptotes.

excluded values$\to$ asymptotes

Graph of :$\text{ } \frac{r + 6}{{r}^{2} - r - 6}$