Respuesta :

Answer:

C. y=7

Step-by-step explanation:

guy above me was right

The horizontal asymptote of the given function  [tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex]  would be y = 7.

When do we get horizontal asymptote for a function?

The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.

The given function is

[tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex]

We need to determine the horizontal asymptote.

Horizontal asymptote;

From the given function, it is obvious that the denominator's degree is smaller than the numerator's degree.

Then, the horizontal asymptote is the y-axis.

Thus, the horizontal asymptote is y = 7.

Learn more about horizontal asymptotes here:

https://brainly.com/question/2513623

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