Question

Identify the oblique asymptote of f(x) = quantity x squared plus 6 x minus 9 over quantity x minus 2.

a) y = 0

b) y = x + 8

c) y = x + 4

d) No oblique asymptote

Answer 1

can you translate that into the equation ?

Answer 2

x^2 + 6x -9 / x - 2

Answer 3

yes right
familiar with the synthetic division ?

Answer 4

not anymore

Answer 5

alright so we should apply synthetic division (or long but synthetic is easy )
the quotient would be the oblique asy
we need to solve x-2 for x
x-2=0 add 2 both sides
x=2
just write the coefficient of
carry down the first term and then multiply by 2 write your answer above the line