For these rational functions: find asymptotes, sketch as indicated.

Questions.
Give the equation of any horizontal, vertical, or oblique asymptotes.

Q38.  $f(x)=\displaystyle -{6\over x+9}$
Q42.  $f(x)=\displaystyle {x^2+4\over x-1}$

Sketch

Q52.  $f(x)=\displaystyle {x-5\over x+3}$
Q54.  $f(x)=\displaystyle {2x+1\over x^2+6x+8}$
Q62.  $f(x)=\displaystyle {x^2-7x+10\over x^2+9}$
Q64.  $f(x)=\displaystyle {2x^2+3\over x-4}$
Q68.  $f(x)=\displaystyle {x^2-16\over x+4}$

SOLUTIONS ======
Q38. Vertical asymptotes is $x=-9$, horizontal asymptotes is $y=0$.