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y = x/(x - 3)

so y(x - 3) = x

xy - 3y = x

xy - x = 3y

x(y - 1) = 3y

x = 3y/(y - 1) for y ≠ 1

So, the inverse function is

f(y) = 3y/(y - 1) where y ≠ 1

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Q: What is inverse function for fx equals x divided by x minus 3?
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