How do you find the domain and range of #g(x)=3 sqrt(x+4)#?
Domain:
Range:
any negative number, such as x >= -4 or x + 4 >= 0.
graph{3*(x+4)^0.5 [-20, 20, 20, 40, -20]} [Ans]
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To find the domain of g(x) = 3√(x + 4), set the expression inside the square root to be greater than or equal to zero, since the square root of a negative number is not real. Solve x + 4 ≥ 0 to find the domain. The range of g(x) is all real numbers greater than or equal to zero because the square root of any non-negative number is real.
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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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