Find the domain of the function $f(x) = \sqrt{2x + 4}$.

1. Problem Description

Find the domain of the function $f(x) = \sqrt{2x + 4}$.

2. Solution Steps

The domain of a square root function requires the expression inside the square root to be greater than or equal to zero. Therefore, we must have:

$2x + 4 \ge 0$

Subtract 4 from both sides of the inequality:

$2x \ge -4$

Divide both sides of the inequality by 2:

$x \ge -2$

The domain of the function is all values of $x$ greater than or equal to $-2$. This is written in interval notation as $[-2, \infty)$.

3. Final Answer

(c) $[-2, \infty)$