With this vertical asymptote of rational functions problem a. x= -5 b. x=0 c. x= -2 d. x= 5

The answer is the first option, which is:

 x=-5

 The explanation is shown below:

1.To solve this problem you must apply the proccedure shown below:

 2. You must factor the denominator, as following:

 f(x)=(5x+10)/(x^2+7x+10)
 f((x)=(5x+10)/(x+2)(x+5)

 x+5=0
 x=-5