Which statement is true about the discontinuities of the function f(x) ?

To determine where the asymptotes are, find the roots (zeros) of 6x^2 - 7x - 3.

Using synthetic division:
          
           
-1/3     /    6   -7   -3
                     -2     3
           
               6     -9    0   Because there is no remainder, x = -1/3 is a root, and 
                                   the solution to 6x - 9 = 0 is the other root:
                                   6x = 9, or x = 9/6, or x = 3/2.

Thus, Answer A is the correct one.