identify the asymptotes of each function

Answer:
A. [tex]x=2, \ f(x)=3[/tex]
Step-by-step explanation:
The function
[tex]f(x)=\dfrac{3}{x-2}+3[/tex]
is undefined when the denominator is equal to 0. So, when
[tex]x-2=0\\ \\x=2[/tex]
the functin f(x) is undefined and the line x = 2 is vertical asymptote.
The horizontal asymptote is at [tex]f(x)=3[/tex]
So, correct option is
[tex]x=2, \ f(x)=3[/tex]