Question

Se

At what value of x does the graph of the following function F(x) have a
vertical asymptote?
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F(x) = -1
X-6

Answer 1

`x=6`

Explanation:

The given function is
`f(x)=-(1)/(x-6)`

The vertical asymptote occurs at where the function is undefined

We equate the denominator to zero and and solve for x.

`\implies x-6=0`

We add 6 to both sides to get:

`\implies x-6+=0+6`

This implies that:

`\implies x=6`

Therefore the vertical asymptote is
`x=6`