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if y = f(X) = (ax-b)/(bx-a) show that x ...

if y = f(X) = `(ax-b)/(bx-a)` show that x = f(y)

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We have `y=f(x)=\frac{a x-b}{b x-a}` take
`y=\frac{a x-b}{b x-a} `
`b x y-a y=a x-b `
`b x y-a x=a y-b `
...
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