Question 470281
First we get the composite function: {{{f(g(x))=7/(x+7)+6}}} <=>

{{{f(g(x))=(7+6(x+7))/(x+7)}}} <=> {{{f(g(x))=(6x+49)/(x+7)}}}.

This function is defined for x+7&#8800;0 or x&#8800;-7, and its domain will be:

({{{-infinity}}}, -7)U (-7, {{{infinity}}}).