Question

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

Answer 1

the excluded values are : `r=-2" and "r=+3`

Explanation:

Given:`" "(r+6)/(r^2-r-6)`

The denominator can be factorised giving

`" "(r+6)/((r+2)(r-3))`

The excluded values will be when the denominator equals zero

Set `" "(r+2)(r-3)=0`

So the excluded values are : `r=-2" and "r=+3`
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In higher mathematics these are called asymptotes.

excluded values`->` asymptotes

Graph of :`" "(r+6)/(r^2-r-6)`