Find the oblique (slant) asymptote of $LaTeX: \displaystyle f(x) = \frac{x^{2} - 12 x + 36}{x + 7}$ .

The oblique asymptote is the whole part without the remainder after polynomial long division.

Dividing gives the quotient $LaTeX: \displaystyle x - 19$ and the remainder $LaTeX: \displaystyle 169$ . The oblique asymptote is $LaTeX: \displaystyle y = x - 19$ .