According to the vertical asymptote of the graph, the rational function is:
A. [tex]F(X) = \frac{1}{x + 4}[/tex]
A vertical asymptote of a function is a point that is outside of it's domain.
- In a fraction, they are the roots of the denominator.
In the graph, the vertical asymptote is at x = -4, hence [tex]x = -4 \rightarrow x + 4 = 0[/tex] is a root of the denominator, and the correct option is:
A. [tex]F(X) = \frac{1}{x + 4}[/tex]
To learn more about vertical asymptotes, you can take a look at https://brainly.com/question/11598999