Hollow point is a point in which the function is undefined.
The function is undefined if the denominator is equal to 0.
From the problem, we have the function :
[tex]h(x)=\frac{3x+15}{x^2+7x+10}[/tex]
Equate the denominator to 0.
[tex]x^2+7x+10=0[/tex]
Then factor completely :
[tex]\begin{gathered} (x+5)(x+2)=0 \\ \text{Solve for the values of x :} \\ x+5=0 \\ x=-5 \\ \\ x+2=0 \\ x=-2 \end{gathered}[/tex]
The values of x that will make the function undefined are x = -2 and -5
From the graph, the asymptote is located at x = -2, so we will put the hollow point at the other value of x which is x = -5
ANSWER :
Locate the hollow point at x = -5.
It will be :
