SOLUTION: what is the domain of a rational function when the denominator cannot be zero.i.e, (x^3+1)/(x^2+2x)

Question 546501: what is the domain of a rational function when the denominator cannot be zero.i.e, (x^3+1)/(x^2+2x)
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
what is the domain of a rational function when the denominator cannot be zero.i.e, (x^3+1)/(x^2+2x)
.
Find values that would make the denominator zero:
x^2+2x = 0
x(x+2) = 0
x = {-2, 0} (values that x can't take)
.
Therefore, the domain is ALL numbers except {-2, 0}
.
You can specify this by:
(-oo, -2) U (-2, 0) U (0, +oo)
where
oo represents infinity

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