Question 869711
Replace f(x) with y. Swap x and y. Then solve for y.



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



{{{y = log(3,(x-2))}}}



{{{x = log(3,(y-2))}}}



{{{3^x = y-2}}}



{{{3^x+2 = y}}}



{{{y=3^x+2}}}



The inverse function is {{{f^(-1)(x) = 3^x+2}}}