Answer:
Domain: [-7, ∞)
General Formulas and Concepts:
Algebra I
- Domain is the set of x-values that can be inputted into function f(x)
Step-by-step explanation:
Step 1: Define function
g(x) = √(x + 7)
Step 2: Determine
We know that we cannot have a negative under the square root as it will produce imaginary numbers. Therefore, on a real number scale, the square root can be no less than or equal to 0.
We see from the function that in order to get 0 under the square root, x = -7. If we have x = -8, we would get -1 under the square root, thus giving us an imaginary numbers.
Therefore, our domain is x ≥ -7 or [-7, ∞).
