SOLUTION: let f(x)= x+4/3x-2, find f (x) inverse and then verify that the cancellation properties are satisfied

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Question 1027790: let f(x)= x+4/3x-2, find f (x) inverse and then verify that the cancellation properties are satisfied
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use x,y nomenclature.
y=%28x%2B4%29%2F%283x-2%29
Interchange x,y and solve for y. The new y is the inverse.
x=%28y%2B4%29%2F%283y-2%29
x%283y-2%29=y%2B4
3xy-2x=y%2B4
3xy-y=2x%2B4
y%283x-1%29=2x%2B4%7D%0D%0A%7B%7B%7By=%282x%2B4%29%2F%283x-1%29
highlight%28f%5E%28-1%29%28x%29=%282x%2B4%29%2F%283x-1%29%29