What is the oblique asymptote of the function f (x) = the quantity of x squared plus 4 x plus 5, all over x plus 3?

F (x) = (x²+4x+5) / (x+3)

to find the oblique asymptote, you just proceed to the division of::

(x²+4x+5) by (x+3) & the quotient will be the oblique linear function which will be the asymptote:

The quotient of the division is x+1, you ignore the rest if any

& the oblique asymptote is f (x) = x+1