# What is the domain of the function #(x-2)/sqrt(x^2-8x+12)# ?

Given:

This function is well defined when the radicand is positive.

We find:

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The domain is

We have a couple of conditions that need to be addressed:

Solve as an equation

We now select test points.

Hopefully this helps!

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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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