LetFind the inverse .

I will replace the symbol "f(x)" with "y", so that my typing is easier.

Problem:  y  =  (3x - 7) / (x + 1)

Two steps:

Step 1:  interchange x and y:

--->   x  =  (3y - 7)/(y + 1)

Step 2:  solve for y:

--->  x(y + 1)  =  3y - 7

--->  xy + x  =  3y - 7

--->  xy - 3y  =  -x - 7

--->  y(x - 3)  =  -(x + 7)

--->  y  =  -(x + 7) / (x - 3)

That is the inverse.