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

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Question 200612: h(x)= x-3/x^3-4x
What is the domain of the function
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
h%28x%29=+%28x-3%29%2F%28x%5E3-4x%29
.
Domain specifies the values 'x' can take.
The only thing we have to worry about is if the denominator goes to zero.
.
So, set the denominator to zero and solve for x:
x^3-4x = 0
x(x^2-4) = 0
.
So, the denominator goes to zero if:
x=0 or x^2-4=0
.
Therefore,
x = all real numbers EXCEPT: x=0, x=-2, x=2