Question 335529: What is the domain of this function?
g(x) = √(x(x-8)
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! The square root function requires non-negative arguments.
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Break up the number line into 3 regions.
Region 1:( , )
Region 2:(, )
Region 3:(, )
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Choose a point in each region, not an endpoint, and calculate the product.
If the value is not negative, that region is part of the domain.
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Region 1: 
True, this region is part of the domain.
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Region 2: 
 }
False, this region is not part of the domain.
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Region 3:
True, this region is part of the domain.
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The domain is then (,) U (,)
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