Question 1156147

consider the function 

{{{f(x)=1-ln(x)}}}

 Write the expression of 

({{{f}}}o{{{f}}}){{{(x) =f(f(x))=1-ln(highlight(1-ln(x)))}}}

 the domain of {{{f}}}o{{{f}}}:

find positive values for logs

{{{highlight(1-ln(x))>0}}}
{{{ln(x)<1}}}

=>only if {{{ 0<x<e}}}

so, domain is

{ {{{x}}} element {{{R}}} : {{{0<x<e}}} }

interval:

({{{0}}},{{{e}}})