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How do you find the restrictions for x^2-9/x^2+3x+2
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When there are restrictions, look at the denominator; you can't divide by 0. In this case, the denominator is (x^2+3x+2). Factor it out so it is easier (x+1)(x+2). Get each of those will equal 0; x=-1 and x=-2. Therefore, since the domain restrictions are x=-1,-2, the domain can be all real numbers, except -2 and -1.
You eliminate the values that cause the denominator to be 0
\[\sqrt[3]{-27}\]
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