You can put this solution on YOUR website! Anything under the square root sign can't be negative,
so
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Square roots can be + or -
It looks like, even with the restriction on ,
The domain is still ( -infinity ) < g(x) < ( +infinity )
because can still go from to
+ infinity
and can go from ( -infinity )
to ( + infinity )
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You might get a 2nd opinion, too