SOLUTION: Find the domain of the function? f(x)=Sqrt x-1/(x+2)(x-3)

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Question 979902: Find the domain of the function?
f(x)=Sqrt x-1/(x+2)(x-3)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Sqrt{( x-1)/(x+2)(x-3)}; I edited the parentheses into the equation and the bracket, too.
x cannot be -2 or 3, for the denominator would be zero.
I would graph the function without taking the square root.
(-2,2)U(3,infinity+) for x. The reason for graphing it is any place the function is less than zero, you can't take the square root. You don't have to do this, but it makes the problem a lot easier.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%28x-1%29%2F%28%28x%2B2%29%28x-3%29%29%29