Respuesta :

Answer:

Graph C

Step-by-step explanation:

Assuming you mean [tex]\displaystyle f(x)=\frac{4x-8}{2x+3}[/tex]:

  • Our vertical asymptote will be the line equal to the solution of [tex]2x+3=0[/tex], which is [tex]x=-\frac{3}{2}[/tex]
  • Our horizontal asymptote will be equal to the ratio of the leading coefficients since they have the same degree, so [tex]y=2[/tex]

Thus, the correct graph is C.