SOLUTION: Find f^-1 of f(x)=x-3/x

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Question 118992: Find f^-1 of f(x)=x-3/x
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
Start with your function
f%28x%29=%28x-3%29%2Fx or
y=%28x-3%29%2Fx
To find the inverse, interchange y and x and solve for y.
y=%28x-3%29%2Fx Original equation
highlight%28x%29=%28highlight%28y%29-3%29%2Fhighlight%28y%29 Interchange x and y
x=1-3%2Fy
x-1=-3%2Fy
y=-3%2F%28x-1%29
y=3%2F%281-x%29
f%5E%28-1%29%28x%29=3%2F%281-x%29