Question

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

Answer 1

The numerator has a degree of 1, the denominator has a degree of 1 as well.

the coefficient for the leading term in the numerator is -2, 

the coefficient for the leading term in the denominator is 1,

the horizontal asymptote is at y = -2/1.



in short, if the numerator and denominator are of the same degree, the horizontal asymptote is just the fraction from their leading term's coefficient.

Answer 2

The horizontal asymptote is y=-2