SOLUTION: please help im studying for my test and I cant do this problem I need to find the domain: f(x)={{{sqrt(2x+12)/(x^2-9x+14)}}}

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Question 348860: please help im studying for my test and I cant do this problem I need to find the domain: f(x)=sqrt%282x%2B12%29%2F%28x%5E2-9x%2B14%29
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the domain: f(x)= sqrt(2x+12)/(x^2-9x+14)
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Two things to consides:
1st: 2x+12 must not be negative
2x+12 >= 0
x >= -6
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2nd: x^2 - 9x + 14 must not be zero
Solve x^2-9x+14 = 0
(x-7)(x-2) = 0
x cannot be 2 and cannot be 7
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Domain: All Real Numbers >=-6 excluding
x = 2 and x = 7.
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Domain: [-6,2)U(2,7)U(7,+oo)]
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Cheers,
Stan H.