Question 759930: Determine the domain for: g(x) log7(x^2+12x+27)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Determine the domain for: g(x)= log7(x^2+12x+27)
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Solve x^2+12x+27 > 0
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Factor:
(x+3)(x+9) > 0
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Draw and number line and plot x = -9 and x = -3
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Find the intervals that satisfy the inequality:
(x+3)(x+9) > 0
Test x = -10 ; -*- > 0 ;;True
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Test x = -5 ; -*+ > 0 ;; False
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Test: x = 0 ; +*+ > 0 ;; True
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Domain: (-oo,-9)U(-3,+oo)
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Cheers,
Stan H.
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