SOLUTION: Find the domain of f(x)=(√(4-x))/(|x|-2)

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Question 437174: Find the domain of f(x)=(√(4-x))/(|x|-2)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+sqrt%284-x%29%2F%28abs%28x%29+-+2%29
The domain of the numerator is (-infinity, 4].
The domain of the denominator is the set of all real numbers EXCEPT 2 and -2.
Get the intersection of the two domains:
(-infinity, -2) U(-2, 2)U(2, 4]
Since no other elements of this set will make the denominator 0, this is the final answer.