# How do you identify all vertical asymptotes for f(x)=(5x)/(x-1)?

Dec 16, 2016

The vertical asymptote is at $x = 1$

#### Explanation:

When the denominator is zero this means that we are dividing by zero, and if we are dividing by zero, the operation will be undefined, and there will be a vertical asymptote when the denominator is zero.

The vertical asymptote is the $x$ value that makes the denominator equal to zero.

What $x$ value makes the denominator equal to zero?

Let's set the expression in the denominator equal to zero to find it.

$x - 1 = 0$
$x = 1$