(1)/((1)/(x-1)-1)

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Solution for (1)/((1)/(x-1)-1) equation: 


D( x )

1/(x-1)-1 = 0

x-1 = 0

1/(x-1)-1 = 0

1/(x-1)-1 = 0

1/(x-1)+(-1*(x-1))/(x-1) = 0

1-1*(x-1) = 0

2-x = 0

(2-x)/(x-1) = 0

(2-x)/(x-1) = 0 // * x-1

2-x = 0

2-x = 0 // - 2

-x = -2 // * -1

x = 2

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:2) U (2:+oo)

1/(1/(x-1)-1) = 0

1/(x-1)-1 = 0

1/(x-1)+(-1*(x-1))/(x-1) = 0

1-1*(x-1) = 0

2-x = 0

(2-x)/(x-1) = 0

(2-x)/(x-1) = 0 // * x-1

2-x = 0

1/(2-x) = 0

1 = 0

x belongs to the empty set

x belongs to the empty set

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