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

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

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Answer

$\boxed{[10, \infty)}$ 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 ：$\boxed{[10, \infty)}$ is the final answer.