Question

identify the oblique asymptote of f(x) = quantity x squared minus 4 x plus 8 over quantity x plus 2. y = 0 y = x - 2 y = x - 6 no oblique asymptote

Answer 1

Oblique asymptote is y= x- 6

Explanation:

f(x)=
`(x^2-4x+8)/(x+2)`

To find out ablique asymptote we use long division

x - 6

------------------------------

x+2 x^2- 4x+ 8

x^2+ 2x

------------------------------ (Subtract it )

- 6x + 8

- 6x - 12

------------------------------(Subtract it)

-20

Quotient is the oblique asymptote

Oblique asymptote is y= x- 6

Answer 2

Using long division, f(x) = x - 6 remainder 20
Therefore, oblique asymptote is y = x - 6