at what value of x does the graph of the following function f(x) have a vertical asymptote? f(x)=1/x-6

x = 6

Step-by-step explanation:

A vertical asymptote is a vertical line going through the x-axis at an x-value that x is not actually allowed to have.

In this case, we have a 'rational' function, meaning there is a 'ratio' or fraction involving the variable x.

With these 'rational' or fractional expressions, we always have to watch out to make sure we never have a denominator equal to zero, because division by zero is not defined. It is meaningless.

The denominator x-6 will equal zero if x is 6, so x cannot actually ever be 6.

That is where the vertical asymptoe goes: a vertical line with the equation x = 6.

6

Step-by-step explanation:

Have an amazing day ! :)

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step-by-step explanation: lol