SOLUTION: Please help me work out and graph y = 2x + 1/x -1 I know that x cannot equal 1 but do not know where to go from here. I have tried to subsitute other numbers for x to find the

Please help me work out and graph y = 2x + 1/x -1







Assume 3 values of x which is less than 1 and 3 values greater than 1 then solve for y by substituting the assumed values to the equation.



   x = 0              x = -1          x = -3





  2x + 1              2x + 1         2x + 1

__________          _________       _________

   x - 1               x - 1          x - 1







 2(0) + 1            2(-1) + 1        2(-3) + 1

__________          __________      __________

   0 - 1               -2 -1           -4 - 1







    1                   -1                -5

   ___ or -1          _____ or 1/3      ____ or 1

   -1                   -3                -5





  x = 2              x = 4            x = 6





  2x + 1              2x + 1         2x + 1

__________          _________       _________

   x - 1               x - 1          x - 1







 2(2) + 1            2(4) + 1        2(6) + 1

__________          __________      __________

   2 - 1               4 -1           6 - 1







    5                  9                13

   ___ or 5          _____ or 3        ____ 

    1                  3                5





Then plot the points. we have six points.





The graph looks like this :







Notice that the graph did not pass x = 1