Let . (a) Determine the horizontal asymptote of . (b) Find all real for which , i.e.,…

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Let

f(x)=\dfrac{2x^{2}+3}{x^{2}-4x}

. (a) Determine the horizontal asymptote

y=L

f

. (b) Find all real

x

for which

f(x)=L

, i.e., the

x

-coordinate(s) where the graph intersects its horizontal asymptote.