Determine the equations of the vertical and horizontal asymptotes, if any, for f(x)=2x/x+4

ANSWER

Vertical asymptote: x=-4

Horizontal asymptote: y=2

EXPLANATION

The given equation is

The vertical asymptote is determined by equating the denominator to zero and solve for x.

The equation of the vertical asymptote is

The numerator has the same degree as the denominator.

The equation of the horizontal asymptote is the coefficient of the leading term in the numerator expressed over the coefficient of the leading term in the denominator.

y=2

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square