What is the domain of the function #f(x) = sqrt{x^3 - 3x^2}#?
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The domain of the function f(x) = sqrt{x^3 - 3x^2} is all real numbers x such that x^3 - 3x^2 is non-negative, since the square root of a negative number is not defined in the real number system. Therefore, the domain of f(x) is the set of all real numbers x such that x^3 - 3x^2 ≥ 0.
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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.
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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- What is #h(f(-2))# given #f(x)=x^2# and #h(x)=x+4#?
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