Question

FINDE THE DOMAIN OF THE FUNCTION

g(x)=roots x+7
write your answer using INTERVAL NOTATION.

Answer 1

Domain: [-7, ∞)

General Formulas and Concepts:

Algebra I

• Domain is the set of x-values that can be inputted into function f(x)

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, ∞).