document.write( "Question 759930: Determine the domain for: g(x) log7(x^2+12x+27) \n" ); document.write( "
Algebra.Com's Answer #462309 by stanbon(75887)\"\" \"About 
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Determine the domain for: g(x)= log7(x^2+12x+27)
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\n" ); document.write( "Solve x^2+12x+27 > 0
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\n" ); document.write( "Factor:
\n" ); document.write( "(x+3)(x+9) > 0
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\n" ); document.write( "Draw and number line and plot x = -9 and x = -3
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\n" ); document.write( "Find the intervals that satisfy the inequality:
\n" ); document.write( "(x+3)(x+9) > 0
\n" ); document.write( "Test x = -10 ; -*- > 0 ;;True
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\n" ); document.write( "Test x = -5 ; -*+ > 0 ;; False
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\n" ); document.write( "Test: x = 0 ; +*+ > 0 ;; True
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\n" ); document.write( "Domain: (-oo,-9)U(-3,+oo)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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