SOLUTION: State the domain of the rational function. g(x)= x-8/x+3

Question 604578: State the domain of the rational function.
g(x)= x-8/x+3
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
State the domain of the rational function.
g(x)= x-8/(x+3)
.
The "domain" specifies all possible values of x.
In this case, you just want to make sure the denominator is not zero because dividing by zero is undefined.
So, we set the denominator to zero to find the value x can't take:
x+3=0
x = -3
So, the domain is all real numbers except -3. Or, you can state it like:
(-oo, -3) U (-3, +oo)
where
oo stands for infinity

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