SOLUTION: Determine the domain of the rational function. {{{f(x)= (1)/(x^2-x-6)}}}

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Question 300480: Determine the domain of the rational function.
f%28x%29=+%281%29%2F%28x%5E2-x-6%29
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
THe only restriction is when the denominator equals zero since division by zero is undefined.
x%5E2-x-6=0
%28x-3%29%28x%2B2%29=0
Two solutions:
x-3=0
x=3
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x%2B2=0
x=-2
So then the domain is all x except x=3 and x=-2.
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(-infinity,-2)U(-2,3)U(3,infinity)
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+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+1%2F%28x%5E2-x-6%29%29+