SOLUTION: what is the domain of the function y = √(x^2+ 7x+12)?

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Question 878004: what is the domain of the function y = √(x^2+ 7x+12)?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Domain is the set of x values where the function is defined.
Square root is undefined when the argument is less than zero.
x%5E2%2B7x%2B12%3C0
%28x%2B4%29%28x%2B3%29%3C0
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graph%28300%2C300%2C-6%2C2%2C-4%2C4%2Cx%5E2%2B7x%2B12%29
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The function is negative in the range -4%3Cx%3C-3.
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This set of x values is excluded from the domain.
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Domain: (-infinity,-4)U(-3,infinity)