SOLUTION: Find the domain of g(x)= x/x^2+x-6 Write in English and in interval symbolism.

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Question 644377: Find the domain of g(x)= x/x^2+x-6
Write in English and in interval symbolism.
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: the denominator CANNOT be zero because you CANNOT divide by zero.

If it were, then x%5E2%2Bx-6=0

The solutions to this will be the values of x that you exclude from the domain.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain of g(x)= x/x^2+x-6
Write in English and in interval symbolism.
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The denominator cannot be zero.
Solve: x^2 + x -6 = 0
(x+3)(x-2) = 0
x = -3 or x = 2
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Domain is "All Real Numbers except x = -3, x = 2.
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(-00,-3)U(-3,2)U(2,+oo)
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Cheers,
Stan H.