SOLUTION: please help me solve this equation: What is the domain of {{{ y= ln(x^2-1x-6)

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