Question

What is the horizontal asymptote of the function f(x)=-2x/x+1

Answer 1

Since the degree of the numerator is the same as the degree of the denominator, then the horizontal asymptote is at

$\bf f(x)=\cfrac{\underline{-2} x}{\underline{1} x+1}\implies \stackrel{horizontal~asymptote}{y=\cfrac{-2}{1}\implies y=-2}$