SOLUTION: What is the domain of the function and give answer in interval notation, using INF for infinity. f(x) = 2x/(x^2 - x - 6)

Algebra ->  Functions -> SOLUTION: What is the domain of the function and give answer in interval notation, using INF for infinity. f(x) = 2x/(x^2 - x - 6)      Log On


   



Question 324672: What is the domain of the function and give answer in interval notation, using INF for infinity.
f(x) = 2x/(x^2 - x - 6)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find when the denominator equals zero.
x%5E2-x-6=%28x-3%29%28x%2B2%29
x=3 and x=-2 are discontinuties of the function.
The domain is then,
(-INF,-2)U(-2,3)U(3,INF)
(-infinity,-2)U(-2,3)U(3,infinity)
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