# What is the domain of #f(x)=x/(x^3+8) #?

Domain:

This is the same as

This expression can be factored using the formula

to obtain

There are three possible answers to this equation, but only one of them is true.

additionally

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The domain of ( f(x) = \frac{x}{x^3 + 8} ) is all real numbers except for the values that make the denominator equal to zero. Therefore, the domain is ( (-\infty, -2) \cup (-2, \infty) ).

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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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