SOLUTION: f(x)= (2x -1) / (x-3) Find the inverse function. I get to y(x-3)=2x-1 and from there the algebra confuses me. I can't get one variable isolated.

Algebra ->  Functions -> SOLUTION: f(x)= (2x -1) / (x-3) Find the inverse function. I get to y(x-3)=2x-1 and from there the algebra confuses me. I can't get one variable isolated.      Log On


   

Question 846045: f(x)= (2x -1) / (x-3)
Find the inverse function.
I get to y(x-3)=2x-1 and from there the algebra confuses me. I can't get one variable isolated.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= (2x -1) / (x-3)
Find the inverse function.
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1st: Interchange x and y to get::
x = (2y-1)/(y-3)
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2nd: Solve for "y":
xy-3x = 2y-1
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2y-xy = 1-3x
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y(2-x) = 1-3x
------
y = (3x-1)/(x-2)
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Cheers,
Stan H.
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