Answer:[-7, ∞)
Explanation:
To find the domain of the radical function f(x) = √(x + 7), we need to consider the values of x that make the function defined.
1. The function f(x) is defined as the square root of the expression x + 7.
2. For the function to be defined, the expression inside the square root (√) must be non-negative, as we cannot take the square root of a negative number in real numbers.
3. To ensure the expression inside the square root (√) is non-negative, we set x + 7 ≥ 0 and solve for x.
x + 7 ≥ 0
x ≥ -7
4. Therefore, the domain of the function f(x) = √(x + 7) is all real numbers greater than or equal to -7. In interval notation, the domain can be written as . This means that any value of x greater than or equal to -7 is valid for the function.