# How do you find the domain of #f(x) = (x+18 )/( x^2-169)#?

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the values that x cannot be.

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The domain is

Therefore,

Construct a sign chart

Therefore,

graph{(x+18)/(x^2-169) [-20.27, 20.28, -10.14, 10.14]}

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Domain: (x \in \mathbb{R}), (x \neq -13, 13)

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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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