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Math Help - domain of composite function

  1. #1
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    domain of composite function

    If the function fg (f compose g) exist, then domain of fg = domain of g.

    Is the result above true? Not necessary, right?
    Domain of fg will just be a subset of domain of g, am i correct?

    Thanks!!!
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  2. #2
    Senior Member apcalculus's Avatar
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    Quote Originally Posted by acc100jt View Post
    If the function fg (f compose g) exist, then domain of fg = domain of g.

    Is the result above true? Not necessary, right?
    Domain of fg will just be a subset of domain of g, am i correct?

    Thanks!!!

    No it is not necessarily true.

    The domain of the composite will be those elements x in the domain of g for which g(x) is in the domain of f.

    good luck!
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