SOLUTION: find the domain of a function 1/x^2-x

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Question 737419: find the domain of a function 1/x^2-x
Answer by Susan-math(40) About Me  (Show Source):
You can put this solution on YOUR website!
Is it 1%2F%28x%5E2%29+-x or 1%2F%28%28x%5E2-x%29%29?
The domain is generally from minus infinity to infinity, except for problems and the two main things to check for are:
1) what makes the denominator 0?
2) what will make a negative inside a square root (or other even root)?
In this case, you have problem 1.
To rule out a zero denominator, set the denominator equal to zero and solve the resulting equation. The omit the solution from your domain.
In case 1 above: x%5E2=0gives x=0 so denominator is all real numbers except 0,
In case 2 above, x%5E2-x=x%28x-1%29=0 gives x=0 or x=1, so domain is all real numbers except 0 and 1.