Question 101230
 f(x)=6x 
x={{{g(x)*6}}}
now both sides divide by 6
{{{x/6=g(x)*6/6}}}
so, iverse function is:
{{{g(x)=1/6*x}}}

definition:

If ƒ is a function whose domain is the set X, and whose range is the set Y, then the inverse of ƒ is the function ƒ–1 with domain Y and range X, defined by the following rule:
 
                 if y=f(x), then {{{f^-1(y)=x}}}