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) (Show Source): You can put this solution on YOUR website!
The domain of the numerator is (, 4].
The domain of the denominator is the set of all real numbers EXCEPT 2 and -2.
Get the intersection of the two domains:
(, -2) U(-2, 2)U(2, 4]
Since no other elements of this set will make the denominator 0, this is the final answer.
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