SOLUTION: Find the domain of the rational function -4-6x/x^3-2x^2-8x

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Question 500021: Find the domain of the rational function
-4-6x/x^3-2x^2-8x

Answer by lwsshak3(11628) About Me  (Show Source):
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Find the domain of the rational function
-4-6x/x^3-2x^2-8x
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To find the domain, set the denominator=0, then solve for x-values that would make the function undefined.
x^3-2x^2-8x=0
x(x^2-2x-8)=0
x(x-4)(x+2)=0
x≠0
x≠4
x≠-2
Domain: (–∞,-2) U (-2, 0) U (0, 4) U (4, ∞)