Question

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

Answer 1

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`