SOLUTION: Find the domain of the function Sqrt( x^2 - 2x)/ x-4

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Question 997491: Find the domain of the function
Sqrt( x^2 - 2x)/ x-4
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Sqrt%28+x%5E2+-+2x%29%2F+x-4

factorize, sqrt%28x%28x-2%29%29%2Fx-4

The domain includes the real numbers x%3E2.
You must have x%28x-2%29%3E0 and critical values for this are at 0 and 2. Zero is not acceptable. x can be negative but now, domain must be the set of real numbers x%3C0 and x%3E=2.

Domain is x%3C0 and x%3E=2.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Find the domain of the function
Sqrt( x^2 - 2x)/ x-4
If sqrt%28x%5E2+-+2x%29%2F%28x+-+4%29, then DOMAIN is: highlight_green%28system%28x+%3C=+0_OR%2C2+%3C=+x+%3C+4_OR%2Cx+%3E+4%29%29