Respuesta :

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

Answer to your question is A. F(X)=1/x+4