what are the vertical and horizontal asymptotes of (f(x)=\frac{2x}{x - 1})?\nhorizontal asymptote at (y =…

what are the vertical and horizontal asymptotes of (f(x)=\frac{2x}{x - 1})?\nhorizontal asymptote at (y = 0), vertical asymptote at (x = 1)\nhorizontal asymptote at (y = 2), vertical asymptote at (x = 1)\nhorizontal asymptote at (y = 1), vertical asymptote at (x = 0)\nhorizontal asymptote at (y = 1), vertical asymptote at (x = 2)

what are the vertical and horizontal asymptotes of (f(x)=\frac{2x}{x - 1})?\nhorizontal asymptote at (y = 0), vertical asymptote at (x = 1)\nhorizontal asymptote at (y = 2), vertical asymptote at (x = 1)\nhorizontal asymptote at (y = 1), vertical asymptote at (x = 0)\nhorizontal asymptote at (y = 1), vertical asymptote at (x = 2)

Answer

Answer:

B. horizontal asymptote at $y = 2$, vertical asymptote at $x = 1$

Explanation:

Step1: Find vertical asymptote

Set denominator $x - 1=0$, solve for $x$. $x=1$

Step2: Find horizontal asymptote

Degree of numerator and denominator is 1. Divide leading - coefficients. Leading coefficient of numerator is 2 and of denominator is 1. So $y=\frac{2}{1}=2$.