Question

What is the domain of the function Begin equation . . . y equals . . . the square root of the quantity x minus ten . . . end equation?

Answer 1

Domain: [10, ∞)

Explanation:

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

Step 1: Write equation

f(x) = √(x - 10)

We know that if we get negatives under the square root, we would get imaginary numbers.

Our domain to include all x-values would have to be bigger than 10:

f(10) = √(10 - 10) = √0 = 0

If the number is smaller than 10, we get: f(9) = √(9 - 10) = √-1 = i

Therefore, our real numbers domain would be [10, ∞) or x ≥ 10.