Can you help me find the inverse of the
function g(x)= x/(x+2)

1. Replace g(x) by y

           y = x/(x+2)

2. Interchange x and y

           x = y/(y+2)

3. Solve for y:

           x = y/(y+2)

      x(y+2) = y

     xy + 2x = y

          2x = y - xy

          2x = y(1 - x)

(2x)/(1 - x) = y

           y = (2x)/(1 - x) 

4. Replace y by f-1(x)
      
      f-1(x) = (2x)/(1 - x)

To check, draw the graph of f(x)



On the same axis, draw the graph of f-1(x)



Draw the indenty line, where y and x are identical, that
is, the line whose equation is y = x.



and we see that the original function and the inverse are
reflections of each other in the identity line, and form 
a symmetrical pattern. So the inverse is correct.

Edwin