Question 162183
{{{f(x)= 3-2x}}} Start with the given equation



{{{y= 3 -2x}}} Replace {{{f(x)}}} with "y"



{{{x= 3 -2y}}} Switch "x" and "y". The goal now is to solve for "y"



{{{x-3=-2y}}} Subtract 3 from both sides.



{{{(x-3)/(-2)=y}}} Divide both sides by -2 to isolate "y"



{{{(-x+3)/(2)=y}}} Simplify



So the solution is {{{y=(-x+ 3)/(2)}}} which means that the inverse function is *[Tex \LARGE f^{-1}\left(x\right)=\frac{-x+3}{2}]