SOLUTION: what is domain x^3 - X^2 - 2x +2/x^2-1

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Question 150264: what is domain x^3 - X^2 - 2x +2/x^2-1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%28x%5E3-x%5E2-2x%2B2%29%2F%28x%5E2-1%29
The domain is all x where f(x) is defined.
This function, f(x), is undefined when the denominator equals zero.
x%5E2-1=0
x%5E2=1
x=1 and x=-1
Therefore the domain is (-infinity,infinity) with the exceptions of x=1 and x=-1.
More formally,
(-infinity,-1)U(-1,1)U(1,infinity)
where the open parentheses signifies that the value is not included.