Question 891889
f(x)=2-1/7x becomes rendered {{{f(x)=2-1/7x}}} according to what you wrote, so not really sure what you want.


{{{f(x)=2-1/(7x)}}}

If g is the inverse, then {{{2-1/(7(g(x)))=x}}}
{{{-1/(7g(x))=x-2}}}
{{{1/(7g(x))=2-x}}}
{{{7*g(x)=1/(2-x)}}}
{{{g(x)=1/(7(2-x))}}}
{{{highlight(g(x)=1/(14-7x))}}}



---------------------WELL, YOU REALLY WANTED SOMETHING ELSE--------------------


{{{f(x)=2-(1/7)x}}}, and you want the inverse of f.


Let g be the inverse of f.
{{{2-(1/7)g(x)=x}}}, solve for g(x).