SOLUTION: What is the domain of (x-5)/(x^2+5x+6)

Question 211168: What is the domain of (x-5)/(x^2+5x+6)
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Domain specifies the values of 'x' can take.
In this case, you just want to make sure the denominator does NOT equal zero.
.
0 = (x^2+5x+6)
0 = (x+2)(x+3)
x = {-2,-3}
.
Therefore, the domain is
all real numbers except -2 and -3.
.
Or, you can write as:
(-oo, -3) U (-2, -3) U (-3, +oo)
where oo is the infinity symbol

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