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Question 662227: Hello,
Given functions h(x)= 1/ (sqrt ( x ) ) and g(x)= x^2-4, state the domain of :
h(x)/g(x) using interval notation.
I have provided a link with the actual question.
http://puu.sh/1bFIg
Thank you for your time.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Given functions h(x)= 1/ (sqrt ( x ) ) and g(x)= x^2-4, state the domain of :
h(x)/g(x) using interval notation.
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h(x)/g(x) = [1/sqrt(x)]/[x^2-4] = [1/(sqrt(x)*(x^2-4))]
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The denominator must not be 0 so x = 0, 2 and -2 are excluded
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sqrt(x) requires that x be >= 0
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Domain: (0,2)U(2,+oo)
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Cheers,
Stan H.
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