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What is the domain of the function f(x)=1/square rootx-3?

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helga95 | (Level 1) Honors

Posted September 13, 2011 at 1:41 AM via web

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What is the domain of the function f(x)=1/square rootx-3?

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted September 13, 2011 at 1:44 AM (Answer #1)

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The domain of the function comprises all values of x that make the function to exist. In this case, the denominator must not be zero and the radicand must be positive, except zero, because the square root is located at denominator.

Therefore, the constraint of existence of the square root is:

x - 3>0

x > 3

Therefore, the domain of the function is the interval (3`,+oo)` .

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