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:

$F(x)=\frac{x^{2}-11x-12}{x+6}$

To find:

The horizontal asymptote or slant asymptote.

Explanation:

Dividing the polynomial we get,

$F(x)=x-17+\frac{90}{x+6}$

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,

$y=x-17$