Question

Given the following rational function:

(a) state the domain.

(b) find the vertical and horizontal asymptotes, if any.

(c) find the oblique asymptotes, if any.

(d) submit a graph.

Please show all of your work.
f(x)=x^2+6x-8/x-5

Answer 1

are both terms divided by x-5?

Answer 2

a.) domain means "what x's am I allowed to put into this function?" so to answer this we need to make sure there arent any x values that will make this function not exist.

Answer 3

if you remember anything over 0 does not exist.. so any number that causes that function to be over zero is not part of the domain