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

1 Answer
Dec 16, 2016

Answer:

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#