Mike and Molly are having an argument about domain. If f(x)=xβˆ’1βˆ’βˆ’βˆ’βˆ’βˆ’βˆš and g(x)=x2 , what is the domain of g(f(x)) ? Mike says that since g(f(x))=g(xβˆ’1βˆ’βˆ’βˆ’βˆ’βˆ’βˆš)=(xβˆ’1βˆ’βˆ’βˆ’βˆ’βˆ’βˆš)2=xβˆ’1 , the domain of g(f(x)) is all real numbers. Molly says that he is wrong since f(x) has a restricted domain. Who is correct here? Mike or Molly? If Molly is correct, what is the domain of g(f(x)) ?

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