SOLUTION: Find the domain of the function. (Enter your answer using interval notation.)
f(x) =
5x3 − 5
x2 + 3x − 18
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Question 992573: Find the domain of the function. (Enter your answer using interval notation.)
f(x) =
5x3 − 5
x2 + 3x − 18
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm going to assume the function is
Set the denominator equal to 0 and solve for x.
or
or
-------------------------------------------------------
If or , then
To avoid division by zero, we exclude those values out of the domain. Any other x value is allowed.
Draw out a number line. Plot -6 and 3 on it. Those values will have open holes at them because we're excluding them from the domain.
So that means the answer in interval notation is  \cup (-6,3) \cup (3,\infty))
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