Question 1208167
<pre>
Given the rational function f(x) = (x + 2)/(x - 2), find the inverse. 

Let me see.
Let f(x) = y
y = (x + 2)/(x - 2)
x = (y + 2)/(y - 2)
Stuck here....

You GOT/HAVE it!
        x = {{{(y + 2)/(y - 2)}}} <====== WHERE YOU ARE!
 x(y - 2) = y + 2 ------- Cross-multiplying 
  xy - 2x = y + 2
   xy - y = 2 + 2x
 y(x - 1) = 2 + 2x
        {{{matrix(1,3, y, "=", (2 + 2x)/(x - 1))}}}
{{{highlight_green(matrix(1,3, f^(- 1)(x), "=", (2 + 2x)/(x - 1)))}}} --- Replacing y with f<sup>- 1</sup>(x)</pre>