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Find the domain of each expression. If the domain does not exist over the real numbers, say none.
1. (x^2)/(x^2 + 1)
2. x/(x^2 - 9)
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Question 1
(x^2)/(x^2 + 1)
I quickly see that the denominator, when set equal to 0, leads to complex roots (domain lies outside the realm of real numbers).
So, my answer is none.
Question 2
x/(x^2 - 9)
x^2 - 9 = 0
x^2 = 9
sqrt{x^2} = sqrt{9}
x = -3, x = 3
Domain = {x | x cannot be -3 or 3}
Is any of this correct?
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It looks to be correct.
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