Question

create a function h(x) that has a vertical asymptotes at x=3/5 and x=-5/2 and a horizontal asymptote of y=8

Answer 1

One such function is
\[
f(x) =\frac { a x^2}{ (c x +d)(mx + n)}
\]
Let us try to find a, b,c, m and n

Answer 2

c x + d = 5 x - 3\\
mx + n= 2 x +5\\
a = 8 (m c) = 80\\
Why?