Question 1046031
The question does not involve f(x).
{{{(h/g)(x)}}} means  same as  {{{h(x)/g(x)}}}.



{{{h(x)/g(x)=(2/x)/(x+12)}}}
{{{x<>0}}} AND  {{{x<>-12}}}.
This means domain is  (-infinity, -12) U (-12, 0) U (0, infinity).
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In inequality notation, this is  {{{system(-infinity<x<-12,-12<x<0,0<x<infinity)}}}.



The ratio of the functions simplified is  {{{2/(x(x+12))=highlight(2/(x^2+12x))}}}.


Note that you were asked for a RATIO of two functions; NOT a composition of functions.