Question

What is the equation of the oblique asymptote?

Answer 1

Answer:

y=x-4

Step-by-step explanation:

What you are looking for is also known as the slant asymptote.  The slant asymptote occurs when the degree of the numerator is one degree more than the denominator which is what you have.

So to find the slant asymptote we can use polynomial division.

We have a choice to use synthetic division here because the denominator is linear.

-1 goes on the outside because we are dividing by (x+1).

-1  |    1     -3      -4

   |           -1        4

   |----------------------

        1      -4        0

The asymptote is the quotient part which is y=x-4.

So answer is y=x-4.