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Question 568654: What is the domain of SQRT((x+5)/(x^2-25))
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! What is the domain of SQRT((x+5)/(x^2-25))
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The denominator cannot be zero,
so x cannot be +5 or -5
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The radicand cannot be negative;
solve (x+5)/[(x+5)(x-5)] >= 0
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Draw a number line:
Plot x = -5 and x = 5
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Test values to find the solutions:
Let x = -10 ; you get -/(-*-) > 0 ; false
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Let x = 0 ; you get +/(+*-) > 0 ; false
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Let x = 10; you get +/(+*+) > 0 ; true
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Domain: x > 5
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Cheers,
Stan H.
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