Question 543400: what is the domain of g(x) when g(x)= log base 5 of (x^2+3-18) ??
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! what is the domain of g(x) when g(x)= log base 5 of (x^2+3x-18) ??
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x^2+3x-18 must be positive.
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Factor:
(x+6)(x-3) = 0
x = -6 or x = 3
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Now determine where (x+6)(x-3) is positive:
Answer: x > 3 or x < -6
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Domain: (-oo,-6)U(3,+oo)
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Cheers,
Stan H.
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