Question 106082
{{{f(x)=log((x^2-5))}}}
{{{g(x)=x+6}}}
{{{f(g(x))=log((x+6)^2-5)}}}Substitute.
{{{f(g(x))=log((x^2+12x+36)-5)}}} Use the FOIL (First Outer Inner Last) Method. 
{{{f(g(x))=log((x^2+12x+31))}}}Simplify. 
{{{g(f(x))=(log((x^2-5)))+6}}}Substitute. 
{{{g(f(x))=(log((x^2-5)))+log((10^6))}}}Use your logarithm rules. 
{{{g(f(x))=log((10^6*(x^2-5))))}}}SImplify.