Question 756020: The domain of g(x)= (square roof of x-2/x^2 - 2x)is.
(a) All x except 0 and 2
(b) all x except 0
(c) x <= 2 (less than or equal to)
(d) x>2
(e) x >= 2 (greater than or equal to)
I picked A. I took x^2 - 2x = 0 and got x(x-2)=0. took x-2=0 and solved for x and got x=2 but now I'm not sure... Can you please tell me if im right, and if not show me how to do it?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Your denominator does indeed exclude 0 and 2, but the argument of a square root function must be greater than or equal to zero. Hence, the x cannot be less than 2 or the numerator is not defined. So relying only on the numerator, you have x >= 2, but since the denominator excludes x = 2, you are left with x > 2.
And just an "oh by the way", it is square rooT, not square rooF.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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