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Mathematics, 24.02.2020 05:15 kinz5550

Mike and Molly are having an argument about domain. If f(x)=x−1−−−−−√ and g(x)=x2, what is the domain of g(f(x))\)? Mike says that since g(f(x))=g(x−1−−−−−√)=(x−1−−−−−√)2=x −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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