# What is the domain of #sqrt(x^2-9)#?

The domain of this expression is

To find restrictions to the domain of a square root expression, you must determine which values of the variable will make the radicand have a negative value.

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The domain of the function sqrt(x^2 - 9) includes all real numbers for which the expression inside the square root is non-negative.

For x^2 - 9 to be non-negative, we have: x^2 - 9 ≥ 0

Solving this inequality: x^2 ≥ 9 x ≥ ±3

Therefore, the domain of sqrt(x^2 - 9) is all real numbers greater than or equal to -3 and less than or equal to 3, or in interval notation: Domain: [-3, 3]

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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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