SOLUTION: find the domain of the function h(x)=x-4/x^3-9x

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Question 830971: find the domain of the function h(x)=x-4/x^3-9x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
h%28x%29=%28x-4%29%2F%28x%5E3-9x%29
The domain is all points where the function is defined.
This function is defined everywhere except where the denominator is zero.
x%5E3-9x=0
x%28x%5E2-9%29=0
Three solutions:
x=0
and
x%5E2-9=0
x%5E2=9
x=3 and x=-3
The domain is all points except x=-3,0,3.