Given:
The function is
[tex]F(x)=\dfrac{1}{x+2}[/tex]
To find:
The vertical asymptote of the given function.
Solution:
Vertical asymptote are the vertical line passes thought the values for which the function is not defined.
To find the vertical asymptote, equate the denominator equal to 0.
We have,
[tex]F(x)=\dfrac{1}{x+2}[/tex]
Denominator is (x+2).
[tex]x+2=0[/tex]
[tex]x=-2[/tex]
The vertical asymptote is [tex]x=-2[/tex].
Therefore, the correct option is B.