Question

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What is the domain of the function y=√√x +4?
-8 < X<∞
O-4≤x<0
O 0≤x<0
0 4≤x<00
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Answer 1

The domain of the function y = √√x + 4 is -4 ≤ x < 0.

Step-by-step explanation:

The domain of the function y = √√x + 4 is x ≥ -4 and x < 0. The function under the square root must be non-negative, so we have to consider the values of x that make the expression inside the square root greater than or equal to zero. Since the square root of a negative number is undefined in the real number system, x cannot be negative. Additionally, x cannot be zero because taking the fourth root of zero gives zero, which is not a defined value for the function. Therefore, the domain of the function is -4 ≤ x < 0.

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