what are the vertical and horizontal asymptotes of f(x) = 2x/(x - 1)? horizontal asymptote at y = 0…

what are the vertical and horizontal asymptotes of f(x) = 2x/(x - 1)? horizontal asymptote at y = 0, vertical asymptote at x = 1 horizontal asymptote at y = 2, vertical asymptote at x = 1 horizontal asymptote at y = 1, vertical asymptote at x = 0 horizontal asymptote at y = 1, vertical asymptote at x = 2

what are the vertical and horizontal asymptotes of f(x) = 2x/(x - 1)? horizontal asymptote at y = 0, vertical asymptote at x = 1 horizontal asymptote at y = 2, vertical asymptote at x = 1 horizontal asymptote at y = 1, vertical asymptote at x = 0 horizontal 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 equal to 0. $x - 1=0$ $x = 1$

Step2: Find horizontal asymptote

Degree of numerator and denominator is 1. For $f(x)=\frac{ax + b}{cx + d}$ ($a = 2$, $b = 0$, $c = 1$, $d=-1$), horizontal asymptote is $y=\frac{a}{c}$. $y=\frac{2}{1}=2$