Question

find the domain of the function. f (x)=√(x−4) write your answer as an inequality. or, you may instead click on \empty set\ or \all reals\ as the answer.

Explanation:

Step1: Recall domain of square root

For \( f(x)=\sqrt{u} \), \( u\geq0 \) (since square root of negative is undefined in real numbers). Here, \( u = x - 4 \).

Step2: Set up inequality

Set \( x - 4\geq0 \). Solve for \( x \): add 4 to both sides, \( x\geq4 \).

Answer:

\( x \geq 4 \)