Question

At what value of x does the graph of the following function F(x) have a vertical asymptote?A.-1B.1C.0D.2

Answer 1

Explanation

Given the function

$f(x)=\frac{1}{x-1}$

The vertical asymptote occurs when the denominator is equal to zero.

$\begin{gathered} x-1=0 \\ add\text{ 1 to both sides} \\ x-1+1=0+1 \\ x=1 \end{gathered}$

Answer: Option B