SOLUTION: What is the domain of f(x) = 4/(x2 + x - 6)?

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Question 517060:
What is the domain of f(x) = 4/(x2 + x - 6)?

Answer by htmentor(1343) About Me  (Show Source):
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What is the domain of f(x) = 4/(x^2 + x - 6)?
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The denominator can be factored as (x-2)(x+3)
The function will be undefined when the denominator = 0 -> x=2, x=-3
So the domain is (-infinity,-3) U (-3,2) U (2,infinity)
The graph is shown below:
graph%28300%2C300%2C-5%2C5%2C-10%2C10%2C4%2F%28x%5E2%2Bx-6%29%29