(Section 1.6: Combining Functions) 1.6.8 A more rigorous analysis of Domf±g()follows. x±g:gx=x²1±x²1, our u±²³³´³³±f:fu=1ufµg³³³³³³³³³³´³³³³³³³³³³±1x²1fgx³´µ¶·¸±²³x>1x¹1 from Domgº±ººº0 is an "illegal" input to f»¼½¾½0¿Domf(See the bottom of the diagram in blue.) • The set of “legal” inputsto g, Domg=1,±²³). • The set of outputsfrom g, Rangeg=0,±²³)
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