Chapter 14, Problem 9STP

To determine

To calculate:we need to find the domain of the function $f(x)=\sqrt{5x-3}$

Answer to Problem 9STP

  $C)\text{}\text{}\text{}\{x|x\ge \frac{3}{5}\}$

Explanation of Solution

Given Information: Function $f(x)=\sqrt{5x-3}$ is given whose domain is to be determined.

Formula used: for $\sqrt{g(x)}$ to be defined, we must have $g(x)\ge 0.$

for $f(x)$ to be defined,

  $\begin{array}{l}5x-3\ge 0\\ \therefore 5x\ge 3\\ \therefore x\ge \frac{3}{5}\end{array}$