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