Answer:
y = 6/11
Step-by-step explanation:
If the degrees of the numerator and denominator are equal, the horizontal asymptote is
[tex]y= \dfrac{\text{leading coefficient of numerator}}{\text{leading coefficient of denominator}}[/tex]
The degrees of the numerator and of the denominator in your function are 1 and 1.
The leading coefficients are 6 and 11, so the equation of the horizontal asymptote is
[tex]y = \mathbf{\dfrac{6}{11}}[/tex]
The diagram below shows the graph of your function with a horizontal asymptote at y = 6/11 ≈ 0.545.
