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

1 Answer
AA_123
Dec 16, 2016

The vertical asymptote is at x=1x=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 xx value that makes the denominator equal to zero.

What xx value makes the denominator equal to zero?

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

x-1=0x−1=0
x=1x=1

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