what are the vertical and horizontal asymptotes of $f(x)=\frac{2x}{x - 1}$?\no horizontal asymptote at $y =…

what are the vertical and horizontal asymptotes of $f(x)=\frac{2x}{x - 1}$?\no horizontal asymptote at $y = 0$, vertical asymptote at $x = 1$\no horizontal asymptote at $y = 2$, vertical asymptote at $x = 1$\no horizontal asymptote at $y = 1$, vertical asymptote at $x = 0$\no horizontal asymptote at $y = 1$, vertical asymptote at $x = 2$

what are the vertical and horizontal asymptotes of $f(x)=\frac{2x}{x - 1}$?\no horizontal asymptote at $y = 0$, vertical asymptote at $x = 1$\no horizontal asymptote at $y = 2$, vertical asymptote at $x = 1$\no horizontal asymptote at $y = 1$, vertical asymptote at $x = 0$\no horizontal asymptote at $y = 1$, vertical asymptote at $x = 2$

Answer

Explanation:

Step1: Find vertical asymptote

Set denominator equal to 0. $x - 1=0$ 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 $y=\frac{2}{1}=2$.

Answer:

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