Find the domain of the function. \( f(x)=\sqrt{3 x-27} \)

To find the domain of the function \( f(x) = \sqrt{3x - 27} \), we need to ensure that the expression inside the square root is non-negative. This means that \( 3x - 27 \geq 0 \). Solving this inequality, we add 27 to both sides: \[ 3x \geq 27 \] Then, dividing both sides by 3 gives us: \[ x \geq 9 \] Therefore, the domain of the function is all values of \( x \) such that \( x \) is greater than or equal to 9. In interval notation, this is written as \([9, \infty)\). Enjoy exploring the real numbers greater than or equal to 9—there's a whole world of possibilities waiting for you! And remember, any value below 9 will leave you in the negative square root territory, which is a big no-no in the realm of real numbers!