Answer:
[tex]y=\frac{6}{11}[/tex]
Step-by-step explanation:
The given rational function is
[tex]f(x)=\frac{6x-7}{11x+8}[/tex]
For the rational function, the horizontal asymptote is given by
[tex]y=\frac{\text{Leading coefficient of numerator}}{\text{Leading coefficient of denominator}}[/tex]
Leading coefficient is the coefficient of the highest exponent.
Leading coefficient of numerator = 6
Leading coefficient of denominator = 11
Therefore, the horizontal asymptote is given by
[tex]y=\frac{6}{11}[/tex]
