2x+1 > 0 .......(1)
This means x > -1/2 and x-1\[ \neq \] 1 so x \[ \neq \] 2 . ........(2)
Also x-1 > 0 so x > 1. .......(3)
Taking intersection of equation 1 ,2 , 3 domain is given by x belongs to (1, \[\infty \] ) - {2} .
[ ] represents including the value whereas ( ) represents excluding the boundary value. { } implies single value