Answer:
The correct option is D.
i.e.
is the correct option.
The correct graph is shown in attached figure.
Explanation:
Considering the function


![\mathrm{Range\:of\:}(1)/(x\left(x+4\right)):\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:-(1)/(4)\quad \mathrm{or}\quad \:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-(1)/(4)]\cup \left(0,\:\infty \:\right)\end{bmatrix}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/juspud8e91evn3161wx1luicz2wjbpn4jo.png)


So, the correct graph is shown in attached figure.
Therefore, the correct option is D.
i.e.
is the correct option.