SOLUTION: what is the domain and how do you find it? y = x-1/x-2 (the numerator has a square root over it)

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Question 516313: what is the domain and how do you find it? y = x-1/x-2 (the numerator has a square root over it)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+%28x-1%29%2Fsqrt%28x-2%29
.
The domain specifies the range of number 'x' can take.
In this case, the expression is undefined for two cases:
- IF the expression inside the radical is negative (imaginary number)
- IF the numerator is 0
.
First case:
x-2 >= 0
x >= 2
Second case:
x != 2
.
Therefore, x can only take values:
x > 2 (domain)