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Find the domain of the function h(x)=(√4-x)/(x-3)

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meliiih7 | Student, Grade 11 | eNoter

Posted October 23, 2012 at 2:02 PM via web

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Find the domain of the function h(x)=(√4-x)/(x-3)

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samhouston | Middle School Teacher | (Level 1) Associate Educator

Posted October 23, 2012 at 2:32 PM (Answer #1)

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The domain of a function are the possible values of x.

Numerator:  √4-x

x `<=` 4 because you cannot square root a negative.

Denominator:  x - 3

x `!=` 3 because the denominator of a fraction cannont equal 0.

Therefore, the domain for this function is:

x `<=` 4 ; x `!=` 3

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