Question 118992
Start with your function
{{{f(x)=(x-3)/x}}} or
{{{y=(x-3)/x}}}
To find the inverse, interchange y and x and solve for y.
{{{y=(x-3)/x}}} Original equation
{{{highlight(x)=(highlight(y)-3)/highlight(y)}}} Interchange x and y
{{{x=1-3/y}}}
{{{x-1=-3/y}}}
{{{y=-3/(x-1)}}}
{{{y=3/(1-x)}}}
{{{f^(-1)(x)=3/(1-x)}}}