Find any points of discontinuity for the rational function.. y= (x+6)(x+2)(x+8)/(x+9)(x+7)

Setting the denominator to zero can help find the points of discontinuity for the rational function.

The denominator is (x+9)(x+7). Equating each factor to zero, the results are:
x+9 = 0; x=-9
x+7 = 0; x=-7

Substituting each of the values of x to the equation makes y undefined.

Finding also the oblique asymptotes if needed, one uses the long division process:

                                         

                                  
                                                   
                                                  
                                                                  

The oblique asymptote equation is : y=x-6