Question

How to find the vertical asymptotes of this please? Thanks!

Answer 1

Please see below.

Explanation:

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Vertical asymptotes can be found by setting the denominator equal to zero and finding the roots:

`x(x-4)=0`

`x=0 and 4`

But we also have `x-4` in the numerator which means at `x=4` we get the value of `0/0` for the function. This means there is a hole in the function at `x=4`

So, your only vertical asymptote is `x=0` which is the `y`-axis.