# What are the asymptotes of #f(x)=-x/((x-2)(4x-3) #?

Vertical Asymptote at

Horizontal Asymptote at

Vertical Asymptotes are found where a function is undefined.

The only way to make our function undefined is having 0 in the Denominator.

These are our Vertical Asymptotes.

Now look at the other side

Substitute

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The function f(x)=-x/((x-2)(4x-3) has two vertical asymptotes at x=2 and x=3/4. There are no horizontal asymptotes.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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