Find the domain of $LaTeX: \displaystyle f(x) = \sqrt{10 x - 13} - 14$ . 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 $LaTeX: \displaystyle 10 x - 13 \geq 0$ . Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle 10 x \geq 13$ Dividing to finish isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle x \geq \frac{13}{10}$ . The domain is $LaTeX: \displaystyle \left[\frac{13}{10}, \infty\right)$