SOLUTION: Determine the domain of when g(x)= square root of x-6 / x+6

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Question 1097482: Determine the domain of when g(x)= square root of x-6 / x+6
Answer by stanbon(75887) About Me  (Show Source):
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Determine the domain of when g(x)= square root of [x-6 / x+6]
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Solve (x-6)/(x+6) >= 0
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Consider the intervals x<-6; -6< x < 6 ; x > 6
Plot the signs of (x-6)/(x+6) in each interval::
x< -6 gives -/- implies ()/() > 0
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-6< x < 6 gives -/+ implies ()/() < 0
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x > 6 gives +/+ implies ()/() > 0
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Note:: x cannot be -6 ; x can = 6
Solutions:: x < -6 or x >= 6
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Cheers,
Stan H.
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