SOLUTION: If f(x)={{{ sqrt(-x) /(x^3 + 2x^2 -3x) }}} , find the domain of f

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Question 963244: If f(x)=+sqrt%28-x%29+%2F%28x%5E3+%2B+2x%5E2+-3x%29+ , find the domain of f
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
From the restrictions of the numerator, x%3C=0.
You can factor the denominator,
x%5E3+%2B+2x%5E2+-3x=x%28x%5E2%2B2x-3%29
x%5E3+%2B+2x%5E2+-3x=x%28x%2B3%29%28x-1%29
So,
x%3C%3E0
x%3C%3E-3
x%3C%3E1
Putting it all together,
(-infinity,-3)U(-30)