SOLUTION: show that f(x)= 3x-2 divided by 5x-3 is its own inverse.

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Question 961643: show that f(x)= 3x-2 divided by 5x-3 is its own inverse.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%283x-2%29%2F%285x-3%29
y=%283x-2%29%2F%285x-3%29
Interchange x and y.
Solve for y, that's the inverse.
x=%283y-2%29%2F%285y-3%29
x%285y-3%29=3y-2
5xy-3x=3y-2
5xy-3y=3x-2
y%285x-3%29=3x-2
y=%283x-2%29%2F%285x-3%29
f%5E%28-1%29%28x%29=%283x-2%29%2F%285x-3%29