Answer :
Final answer:
The domain of the function y = √(x+7) consists of all values of x that are greater than or equal to -7, so the correct answer is D. x≥ -7.
Explanation:
The student asked for the domain of the function y = √(x+7). The domain of a function is the set of all possible values of x for which the function is defined. For the square root function, the expression inside the square root must be greater than or equal to 0, because the square root of a negative number is not a real number.
So, we set the expression inside the square root to be greater than or equal to 0:
- x + 7 ≥ 0
- x ≥ -7
Therefore, the correct answer is D. x≥ -7, as this represents all the x values for which the function is defined.
