document.write( "Question 435242: please help me solve this equation: What is the domain of y= ln(x^2-1x-6) \n" );
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Algebra.Com's Answer #301279 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! y= ln(x^2-1x-6) \n" ); document.write( "---- \n" ); document.write( "You can only find the ln of a positive number. \n" ); document.write( "--- \n" ); document.write( "Solve x^2-x-6 > 0 \n" ); document.write( "Factor: \n" ); document.write( "(x-3)(x+2)> 0 \n" ); document.write( "--- \n" ); document.write( "Draw a number line and plot x=-2 and 3 \n" ); document.write( "--- \n" ); document.write( "Test a value from each of the line intervals \n" ); document.write( "in the inequality to see where solutions lie. \n" ); document.write( "--- \n" ); document.write( "Note: You need only test the signs since you are comparing to zero. \n" ); document.write( "--- \n" ); document.write( "If x = -10 you get -*- > 0 ; true so solutions in (-inf,-2) \n" ); document.write( "--- \n" ); document.write( "If x = 0 you get -*+ > 0 ; false \n" ); document.write( "---- \n" ); document.write( "If x = 10 you get +*+ > 0; true so solutions in (3,+inf) \n" ); document.write( "==== \n" ); document.write( "Domain: (-inf,-2)U(3,+inf) \n" ); document.write( "======================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |