Question 1052097
What?

<pre>F (x) =    3x²+5    
                x² - 4  </pre>


You mean this?
{{{(3x^2+5)/(x^2-4)}}}


Numerator and denominator both degree 2.


Horizontal asymptote, {{{y=3}}}


No common factor between numerator and denominator.
Vertical asymptotes, {{{system(x=-2,x=2)}}}