Question

If f(x)= √x−3, which inequality can be used to find the domain of f(x)?

a) √x−3 ≥0
b) x−3≥0
c) x≥3
d) x≤3

Answer 1

The inequality that can be used to find the domain of f(x) = √x-3 is x - 3 ≥ 0.

Step-by-step explanation:

To find the domain of the function f(x) = √x-3, we need to determine the values of x for which the function is defined. Since the square root of a negative number is not defined in the real number system, we need to make sure that the expression inside the square root is non-negative. Therefore, the inequality that can be used to find the domain of f(x) is x - 3 ≥ 0. This means that x must be greater than or equal to 3.