SOLUTION: help with this one please, i tried to do it,I got lost with inverse numbers f(x)=(x−1)/(x+2) find f^-1(x)

Algebra ->  Exponents -> SOLUTION: help with this one please, i tried to do it,I got lost with inverse numbers f(x)=(x−1)/(x+2) find f^-1(x)      Log On


   

Question 852110: help with this one please, i tried to do it,I got lost with inverse numbers
f(x)=(x−1)/(x+2) find f^-1(x)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Inverse functions you mean.
y=%28x-1%29%2F%28x%2B2%29
Interchange x and y and solve for the new y, this is the inverse.
x=%28y-1%29%2F%28y%2B2%29
x%28y%2B2%29=y-1
xy%2B2x=y-1
xy-y=-2x-1
y%28x-1%29=-2x-1
highlight%28y=%28-2x-1%29%2F%28x-1%29%29