Domain of g(f(x)) with f(x)=√x and g(x)=√(x²+1)

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Homework Statement



If f(x)=√x and g(x)=√(x^2+1) what is the domain of g(f(x))?


The Attempt at a Solution



I cam up with (-∞,+∞) since the square root of a square is always positive, am I missing something here?
 
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