What is the domain of h(x)=sqrt(2x+1)?

Mar 9, 2018

$x \in \mathbb{R} , x \ge - \frac{1}{2}$

Explanation:

$\text{we require } 2 x + 1 \ge 0$

$\Rightarrow 2 x \ge - 1 \Rightarrow x \ge - \frac{1}{2}$

$\text{domain is } x \in \mathbb{R} , x \ge - \frac{1}{2}$

$\left[- \frac{1}{2} , + \infty\right) \leftarrow \textcolor{b l u e}{\text{in interval notation}}$
graph{sqrt(2x+1) [-10, 10, -5, 5]}