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

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Question 316797: show that:
f(x)= 3x-2/5x-3
is its own inverse
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Switch to x-y format,
y=%283%2Ax-2%29%2F%285%2Ax-3%29
Now interchange the positions of x and y and solve for y.
The new solved y will be the inverse function.
highlight%28x%29=%283%2Ahighlight%28y%29-2%29%2F%285%2Ahighlight%28y%29-3%29
x%285y-3%29=3y-2
5xy-3x=3y-2
5xy-3y=3x-2
y%285x-3%29=3x-2
highlight_green%28y=%283%2Ax-2%29%2F%285%2Ax-3%29%29
f%5E%28-1%29%28x%29=%283%2Ax-2%29%2F%285%2Ax-3%29