Find the domain of $LaTeX: \displaystyle f(x) = \sqrt{x - 11} + 6$ . Write the solution in interval notation.

The domain of a radical function is the solution to the inequality radicand $LaTeX: \displaystyle \geq 0$ . The inequality is $LaTeX: \displaystyle x - 11 \geq 0$ . Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle x \geq 11$ The domain is $LaTeX: \displaystyle \left[11, \infty\right)$