Find the domain of the following functions:
`sqrt(x-4)`

Answer

To find the domain of the function \( f(x) = \sqrt{x - 4} \), we need to determine the values of \( x \) for which the function is defined.

### Step-by-Step Solution:

1. **Identify the expression under the square root**:
The function involves a square root, which is defined only for non-negative values. Therefore, we need to ensure that the expression inside the square root is greater than or equal to zero.
\[ x - 4 \geq 0 \]

2. **Solve the inequality**:
To solve the inequality \( x - 4 \geq 0 \), we can add 4 to both sides:
\[ x \geq 4 \]

3. **Express the domain**:
The solution \( x \geq 4 \) indicates that \( x \) can take any value starting from 4 and extending to positive infinity. Therefore, we can express the domain in interval notation:
\[ \text{Domain} = [4, \infty) \]

### Final Answer:
The domain of the function \( f(x) = \sqrt{x - 4} \) is \( [4, \infty) \).