Answer y = x+9
Given function f(x) = [tex] \frac{x^2+5x+6}{x-4} [/tex]
To find out oblique asymptote we use long division
We divide x^2 + 5x + 6 by x-4
Hereby attached a file that shows long division
Long division steps are given below
1. Divide the first term of both numerator by denominator (x^2/x = x)
2. Multiply the answer x with x-4 that gives x^2 - 4x and put it at the bottom
3. Change the sign and subtract it
4. Repeat the step 1,2,3 till we get the remainder
We got quotient is x+9
So we write oblique asymptote y = x+9
