Respuesta :

Answer:

Option D. [tex]x=-3[/tex]

Step-by-step explanation:

we have

[tex]f(x)=\frac{5x^{4}-7}{x+3}[/tex]

we know that

The denominator cannot be equal to zero

therefore

To find the equation of the vertical asymptote equate the denominator to zero

so

[tex](x+3)=0[/tex]

[tex]x=-3[/tex] -----> equation of the vertical asymptote