Question

f(x)=4x^2+x-2/4x-3

find any slant or vertical asymptotes

Answer 1

is this your problem:
\[\frac {4x ^{2}+x-2}{4x-3}\]?

Answer 2

since the degree of the numerator is 1 more than the degree of the denominator, you do have a slant asymptote.

to find the equation of the slant asymptote, just do long division.
the equation of the slant asymptote should be y = x + 1