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

Question

Kennedy Adams · Accepted Answer

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

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)#

Avery Alexander · Answer

undefined To simplify the expression (r + 6) / (r^2 - r - 6), we can factor the denominator as (r - 3)(r + 2). Therefore, the simplified expression is (r + 6) / ((r - 3)(r + 2)).

To find the excluded value, we need to identify the values of r that would make the denominator equal to zero. In this case, the excluded values are r = 3 and r = -2, since plugging them into the denominator would result in division by zero.