Question 198354
{{{f(x)=(5-x)/6}}} Start with the given function.



{{{y=(5-x)/6}}} Replace f(x) with y. 



{{{x=(5-y)/6}}} Swap x and y. The goal now is to solve for y



{{{6x=5-y}}} Multiply both sides by 6.



{{{y+6x=5}}} Add y to both sides.



{{{y=-6x+5}}} Subtract 6x from both sides.



So the inverse is *[Tex \LARGE f^{-1}(x)=-6x+5]