Question

Uprość wyrażenie: |1/(x-1)| * |1-x|

Answer 1

|1/(x-1)|*|1-x|=

|1/(x-1)*(1-x)|=

|(1-x)/(x-1)|=

|1-x|/|x-1|=

|x-1|/|x-1|=1

 

 

Answer 2

|1/(x-1)| * |1-x|

 

Z: x - 1 ≠ 0

 

x ≠ 1

 

D : x∈ R \ { 1 }

 

|1/(x - 1)| * |1 - x| = | 1/(x - 1)| * | - (x - 1)| =

 

= |1/(x - 1)| * |x - 1| =

 

= |1/(x-1) * (x - 1)| = |1| = 1