Find the vertical asymptotes,

Question

if any, and the values of x corresponding to holes, if any, of the graph of the following rational function.? 

g(x) = x + 3/x(x + 4)

Answer 1

The rational function

Vertical asymptote can be found by making denominator = 0.

x (x + 4) = 0

Apply zero product property.

x = 0 and x + 4 = 0

x = 0 and x = - 4

Vertical asymptotes are  is x = 0 and x = - 4.