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What is the domain of the function
y =√ x +4?
A. -infinity
B. -4
C. 0
D. 4

User Cbare
by
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1 Answer

6 votes

Final answer:

The domain of the function y = √(x + 4) is all real numbers greater than or equal to -4, which means the correct answer is B. -4.

Step-by-step explanation:

The question asks about the domain of the function y = √(x + 4). The domain of a function is the set of all possible input values (x-values) that the function can accept without causing any issues like division by zero or taking the square root of a negative number. Since we cannot take the square root of a negative number in the set of real numbers, x + 4 must be greater than or equal to zero. Therefore, to find the domain, we set up the inequality x + 4 ≥ 0 and solve for x:

x ≥ -4

Thus, the correct answer is B. -4, as the domain of the function is all real numbers greater than or equal to -4.

User GifCo
by
8.3k points