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Math Help - Composite function

  1. #1
    Junior Member
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    Composite function

    So composition function is s(x) = ln(ln(x)) and natural domain is (1, +infinity)
    So s(s(x)) = s(ln(ln(x)) = ln(ln(ln(ln(x)))) .
    Is natural domain this function also (1,+infinity)????
    What is the axes intercepts of y = s(s(x)) ???
    I have tried assign x = 0 but my calculator can not find any solution .

    Thank you.
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  2. #2
    Member
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    Jul 2008
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    The function y=ln(ln(ln(ln(x)))) does not have a y-intercept since when x = 0, ln(x)=ln(0) is undefined.

    If you do set y = 0 to find the x-intercept then, then x=e^{e^{e^{e^{0}}}}

    As for the domain, the domain will be from x=e^{e^{e^{0}}} to infinity.
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