SOLUTION: Find the inverse of the function f(x)= 2x-3/x+1 I need the steps to solve for y. Thank you

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Question 893776: Find the inverse of the function f(x)= 2x-3/x+1 I need the steps to solve for y. Thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use x,y.
y=%282x-3%29%2F%28x-1%29
Now interchange x and y and solve for y.
This new y is the inverse.
x=%282y-3%29%2F%28y-1%29
x%28y-1%29=2y-3
xy-x=2y-3
2y-xy=3-x
y%282-x%29=3-x
y=%283-x%29%2F%282-x%29
f%5E%28-1%29%28x%29=%283-x%29%2F%282-x%29