Question

What is the oblique asymptote of the function f(x)= [x^2+5x+6]/[x+4]?

Answer 1

To find the slant asymptote, do the long division...The slant asymptote is the polynomial part of the answer, not the remainder.

Answer 2

(1+x)?

Answer 3

| |
x | + | 4 | | x | + | 1
x^2 | + | 5 x | + | 6
x^2 | + | 4 x | |
| | x | + | 6
| | x | + | 4
| | | | 2

Answer 4

thats right :)

Answer 5

x = -1

Answer 6

so we set x+1 = 0

Answer 7

oblique asymptote is a line so y=x+1

Answer 8

[x^2-x-12]/[x-4] are these correct:
disc.= -3
x int=(3,0)
y int= (0,-3)
shape= straight line