Question 869711
{{{f(x)=log(3,(x-2))}}}.


f(x) is an exponent, same as logarithm.  You know the base...

g(x) assigned as inverse.
{{{f(g(x))=highlight_green(log(3,(g(x)-2))=x)}}}.
Change into exponential form.
{{{3^x=g(x)-2}}}
{{{highlight(g(x)=3^x+2)}}}.