SOLUTION: Find the domain of the function. h(x)=(x-1)/(x3-9x)

Algebra ->  Test -> SOLUTION: Find the domain of the function. h(x)=(x-1)/(x3-9x)      Log On


   

Question 588644: Find the domain of the function.
h(x)=(x-1)/(x3-9x)
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The function is undefined when the denominator equals 0.
The denominator can be factored as x^3 - 9x -> x(x+3)(x-3)
So the denominator will be 0 if x=0, x=3 and x=-3
Therefore the domain is all real numbers except x=0,3,-3