Finding inverse of quotient

[kilroymcb]

Hello!
I need to find the inverse of the function y = (x+1)/(x-2)
I started by substituting x=(y+1)/(y-2)
Now I need to get y by istelf.
What's the best way to go about this?

 

[galactus]

Try long division.

 

[stapel]

You have:

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

Multiply through the clear the fraction:

. . . . .x(y - 2) = y + 1

Now multiply out the left-hand side. Get all the y-containing terms together on one side, with everything else, constants and otherwise, on the other.

Factor the "y" out of the y-side. Divide off whatever is left.

You should end up with another fraction. :wink:

Eliz.