SOLUTION: I'm so lost The function h is is defined below h(x)=(x+6)/(x^2+9x+8) Find all values of x that are NOT in the domain of h. If there is more than one value, separate th

Question 451377: I'm so lost
The function h is is defined below
h(x)=(x+6)/(x^2+9x+8)
Find all values of x that are NOT in the domain of h.
If there is more than one value, separate them with commas.
Answer by kingme18(98) (Show Source): You can put this solution on YOUR website!
The domain of a function is everything that x can't ever equal. In some cases, there are numerous places (for example, for the square root function x can't be negative). For a function like yours, the only problems will be when the denominator equals zero. This is because you're not allowed to divide by 0.
So, let's look at the denominator. Any x value that would make it equal zero is illegal, so it's NOT in the domain. Let's factor! Since two things multiply to 0, one of them must actually be equal to 0. So or . When you solve those, you get that x=-8 and x=-1. Those are the two values that x CANNOT equal; therefore, they aren't in the domain.
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