Functions f and g are defined as follows:(adsbygoogle = window.adsbygoogle || []).push({});

f:x -->ln(2+x) , x> -2

g:x-->1/(x+3)+2 , x<-3

(ii)Explain why the composite function fg cannot be properly defined unless the domain of g is restricted to a subset of {where x is real,x < -3}.State the largest possible subset for fg to exist and find the corresponding range.

My problem:

Domain of f is x>-2,

Range of g is (2,-infinity].

So g is not a subset of f,then why did the question says that it can be properly defined if it is restricted to {where x is real,x < -3}?

Please enlighten me thank you.

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# Homework Help: Mathematics-Functions help

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