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Question 348588: What is the domain of the function f(x) = 2x/(x^2 + x - 6)? Give your answer in interval notation, using INF for infinity.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! What is the domain of the function f(x) = 2x/(x^2 + x - 6)? Give your answer in interval notation, using INF for infinity.
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Factor to get:
f(x) = (2x)/[(x+3)(x-2)]
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Since the denominator cannot be zero,
x cannot be -3 and x cannot be +2.
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Domain: All Real Numbers except x = -3 and x = 2
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Ans: (-inf,-3)U(3,2)U(3,+inf)
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cheers,
Stan H.
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