SOLUTION: f(x)=(x-1)/(x+1).Find f^(-1), domain of f and range of f

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Question 912016: f(x)=(x-1)/(x+1).Find f^(-1), domain of f and range of f
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You might be asking for f^(-1)(x).

%28y-1%29%2F%28y%2B1%29=x using y as f%5E%28-1%29%28x%29.

y-1=x%28y%2B1%29

y-1=xy%2Bx

y-xy=1%2Bx

y%281-x%29=1%2Bx

highlight%28y=%28x%2B1%29%2F%281-x%29%29
x%3C%3E1
and you must check behavior to the left of -1, between -1 and +1, and to the right of +1.

graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%28x%2B1%29%2F%281-x%29%29