Find the domain of $LaTeX: \displaystyle f(x) = \sqrt{10 x - 10} + 10$ . 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 $LaTeX: \displaystyle 10 x - 10 \geq 0$ . Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle 10 x \geq 10$ Dividing to finish isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle x \geq 1$ . The domain is $LaTeX: \displaystyle \left[1, \infty\right)$