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

1 Answer
Mar 30, 2016

Answer:

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)#

Tony B