Let . Which of the following is the slant (oblique) asymptote of the graph of…

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Let

g(x)=\dfrac{4x^{3}-x^{2}+2}{x^{2}+1}

. Which of the following is the slant (oblique) asymptote of the graph of

g

? (a)

y=4x+1

(b)

y=4x-1

(c)

y=-4x-1

(d)

y=4x