Question

Identify the horizontal asymptote of f(x) =6x-7/11x+8

Answer 1

the horizontal asymptote would be y=
`(6)/(11)`

Answer 2

`y=(6)/(11)`

Explanation:

The given rational function is

`f(x)=(6x-7)/(11x+8)`

For the rational function, the horizontal asymptote is given by

`y=\frac{\text{Leading coefficient of numerator}}{\text{Leading coefficient of denominator}}`

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

`y=(6)/(11)`