Question

Find the horizontal and vertical asymptotes of 4
2x-3 / x+4 (fraction)

show work please

Answer 1

 $\frac{2x-3}{x+4}$  

Vertical asymptote is found when the denominator has the value of zero. In this problem the vertical asymptote will be at x = -4 because this value will cause the denominator to equal zero. The horizontal asymptote is found by first finding the degree of numerator and denominator. In this problem the degrees of both are the same (degree = 1) which means the asymptote is determined by the coefficients of the highest powers. Therefore the asymptote is: y = 2.