Question 419305:  I have been asked to find the domain of these two functions: 
f(x)=x^2/x^2-2     and     g(x)=x+4/x^3-4x
 
a) the domain of f(x) in interval form: x cannot be -1 or 1 
b)the domain of g(x) in  interval form: x cannot be -2, 0, or 2
 
How do I write these in interval notation? This is my best guess, would this be correct? 
a)(-infinity, -1)U(1,infinity) 
b)(-infinity,-2)U(0)U(2,infinity) 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! find the domain of these two functions: 
f(x)=x^2/x^2-2 and g(x)=x+4/x^3-4x  
a) the domain of f(x) in interval form: x cannot be -sqrt(2) or +sqrt(2) 
(-inf,-sqrt(2))U(-sqrt(2),+sqrt(2))U(sqrt(2),+inf) 
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b)the domain of g(x) in interval form: x cannot be -2, 0, or 2 
How do I write these in interval notation?  
(-infinity,-2)U(-2,0)U(0,2)U(2,infinity) 
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Cheers, 
Stan H. 
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