y=6-2/(x-1)

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Solution for y=6-2/(x-1) equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

y = 6-(2/(x-1)) // - 6-(2/(x-1))

2/(x-1)+y-6 = 0

2/(x-1)+(y*(x-1))/(x-1)+(-6*(x-1))/(x-1) = 0

y*(x-1)-6*(x-1)+2 = 0

x*y-6*x-y+2+6 = 0

x*y-6*x-y+8 = 0

(x*y-6*x-y+8)/(x-1) = 0

(x*y-6*x-y+8)/(x-1) = 0 // * x-1

x*y-6*x-y+8 = 0

8-6*x-y = 0 // - 8-y

-6*x = -(8-y) // : -6

x = (-(8-y))/(-6)

x = (y-8)/(-6)

x = (y-8)/(-6)

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