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)![]() ![]() ![]() You can put this solution on YOUR website! Determine the domain for: g(x)= log7(x^2+12x+27) \n" ); document.write( "------- \n" ); document.write( "Solve x^2+12x+27 > 0 \n" ); document.write( "--------- \n" ); document.write( "Factor: \n" ); document.write( "(x+3)(x+9) > 0 \n" ); document.write( "------ \n" ); document.write( "Draw and number line and plot x = -9 and x = -3 \n" ); document.write( "------ \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 \n" ); document.write( "--------- \n" ); document.write( "Test x = -5 ; -*+ > 0 ;; False \n" ); document.write( "--------- \n" ); document.write( "Test: x = 0 ; +*+ > 0 ;; True \n" ); document.write( "----- \n" ); document.write( "Domain: (-oo,-9)U(-3,+oo) \n" ); document.write( "=============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |