SOLUTION: What is the inverse of f(x)= x/(x+2) ? Thanks

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Question 959865: What is the inverse of f(x)= x/(x+2) ? Thanks
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%2F%28x%2B2%29
Interchange x and y and solve for the new y, that's the inverse.
x=y%2F%28y%2B2%29
x%28y%2B2%29=y
xy%2B2x=y
xy-y=-2x
y%28x-1%29=-2x
y=%28-2x%29%2F%28x-1%29
f%5E%28-1%29%28x%29=%28-2x%29%2F%28x-1%29