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| Question 499374:  Find the domain of 1/sqrt(3x+8)
 Answer by oberobic(2304)
      (Show Source): 
You can put this solution on YOUR website! 1/sqrt(3x+8) .
 The domain is affected by the square root function.
 We should assume we are limited to the real numbers, so the value of 3x+8 cannot be negative.
 Also, since the expression is in a denominator it cannot = 0.
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 x = -8/3 would result 0, so that cannot be allowed.
 x < -8/3 would result in a negative value, so that cannot be allowed.
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 So, the domain of x is all real x > -8/3.
 .
 Done.
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