Inctions \[ f(x)=\sqrt{2 x-18} \] Find the domain of the function. The domain is \( \square \). (Type your answer in interval notation.)

To find the domain of the function \( f(x) = \sqrt{2x - 18} \), we need to ensure that the expression inside the square root is non-negative (since the square root of a negative number is not defined in the set of real numbers). 1. **Set the inside of the square root greater than or equal to zero:** \[ 2x - 18 \geq 0 \] 2. **Solve for \( x \):** \[ 2x \geq 18 \] \[ x \geq 9 \] Therefore, the domain of the function is all real numbers \( x \) such that \( x \) is greater than or equal to 9. **The domain is** \([9, \infty)\). **Answer:** \([9, \infty)\)