Question 982029
Maybe you mean  f(x)=(5x+6)/(2x-6).


The zero and the asymptote create two critical values of x, and three intervals on the x-axis.


These are the intervals.
{{{system(x<=-6/5,-6/5<=x<3,3<x)}}};


Look for signs, check behavior at x=-6/5 and near  x=3.