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Submitted by alnaqbi_23 on Thu, 2012-02-02 20:49
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4. State the domain of the function f, defined by f(x) = (x-2)/(x2 − 3x)√6 − x.

4. State the domain of the function f, defined by f(x) = (x-2)/(x2 − 3x)√6 − x.

Answer
Submitted by shahimermaid on Fri, 2012-02-03 01:32
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the answer is

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xxxx xx xxxxxxxxx x x^2(x-3)

xxxxxxxx x: x xx all real xxxxxx xxxxx xxxx 0 xxx 3}


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Answer
Submitted by altafganihar on Mon, 2012-02-06 12:45
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(-infinity,6]-{0,3}

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xxx the xxxxx xxxxxxxx to xx defined xxxx should not xx imaginary xx xx xxxxxx xxx be infinity(i.e, xxx denominator xxxxxx not xx xxxxxx
To solve xxxx problem xxxx xxxxx find xxx xxxxxx at which its is xxx defined as there xxx xxxx a xxx points xx which xx xxxx not xx xxxxxxxx
xxxxxxxxx
xxxxxxx for f(x) to be undefined that xx
xxxxx xxxxxxxx xx
x=0 xxx xxxx
also 6-x<0 for f(x) to be undefined as 6-x is under the square root and the square root of a negative no. is imaginary.
therefore xxx xxx xxxx xx xxx defined.i.e., x xxxxxxx to (6,infinity).
xxxxxxxxx xxxxxx xx xxxx xxxxxxx minus these numbers.
xxxxxxxxx
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
therefore answer xx
xxxxxxxxxxxxxxxxxxxx


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