Give the domain of the function defined below.
$f (x) = (x - 10)^{1 / 2}$

The domain is $◻$ .
(Simplify your answer. Type your answer in interval notation.)

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Answer

$[10, \infty)$ is the final answer.

Steps

Step 1 ：Given the function $f (x) = (x - 10)^{1 / 2}$ .

Step 2 ：The function is defined for all $x$ such that $(x - 10)^{1 / 2}$ is a real number.

Step 3 ：This is true for all $x$ such that $x - 10 \geq 0$ .

Step 4 ：Solving the inequality, we find that $x \geq 10$ .

Step 5 ：Therefore, the domain of the function is $[10, \infty)$ .

Step 6 ： $[10, \infty)$ is the final answer.