SOLUTION: What is the domain of the given problem {{{x^3+3x^2-4}}} over {{{x^2+3x}}}

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Question 244410: What is the domain of the given problem x%5E3%2B3x%5E2-4 over x%5E2%2B3x
Found 2 solutions by rapaljer, edjones:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
In Domain, the denominator must NEVER be zero. So x%5E2%2B3x must not equal 0. You can have any value of x EXCEPT
x(x+3) must NOT equal zero.

x cannot equal 0, x cannot equal -3.

Domain is all real values except 0 and -3.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+3x
=x(x+3)
x can't be 0 or -3 because division by zero is not allowed.
So the domain is all real numbers except 0 and -3.
.
Ed
.
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%28x%5E3%2B3x%5E2-4%29%2F%28x%5E2%2B3x%29%29