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What is the domain of the function y = sqrt x + 4?

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Final answer:

The domain of the function y = sqrt(x + 4) is all real numbers greater than or equal to -4.

Step-by-step explanation:

The domain of the function y = sqrt(x + 4) is all real numbers greater than or equal to -4.

To find the domain, we must determine the values of x that make the function defined.

  1. The square root function is defined only for non-negative values. Therefore, x + 4 must be greater than or equal to 0.
  2. Solving the inequality x + 4 ≥ 0, we get x ≥ -4.

Therefore, the domain of the function is x ≥ -4.

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User Antonis Zisis
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