Question

Please answer last one, full sentence with either A. The horizontal or oblique asymptote is __Or b. There is no horizontal

Answer 1

Given:

`F(x)=(x^(2)-11x-12)/(x+6)`

To find:

The horizontal asymptote or slant asymptote.

Step-by-step explanation:

Dividing the polynomial we get,

`F(x)=x-17+(90)/(x+6)`

If x approaches infinity, then the above rational term becomes zero.

So, we will get

`y=x-17`

As we know,

An oblique (or slant) asymptote is a slant line that the function approaches as x approaches plus or minus infinity.

Therefore, the oblique asymptote is,

`y=x-17`

Final answer:

The oblique asymptote is,

`y=x-17`