Answer:
The correct option is C.
Step-by-step explanation:
The parent rational function is defined as
[tex]g(x)=\frac{1}{x}[/tex]
Where x=0 is a vertical asymptote of the function.
If vertical asmptote of a ration function is x=a, then the rational function is defined as
[tex]y=\frac{1}{x-a}[/tex]
From the given graph it is clear that the vertical asypmtote of the function is x=-4. It means the given function is not defined for x=-4. So, the required function is
[tex]F(x)=\frac{1}{x-(-4)}[/tex]
[tex]F(x)=\frac{1}{x+4}[/tex]
Therefore the correct option is C.
