Final answer:
To find the domain of the inequality g(1) ≥ −2√√x+2, examine the restrictions on x that make the inequality true. The domain of the inequality is all real numbers greater than or equal to -2.
Step-by-step explanation:
To find the domain of the inequality g(1) ≥ −2√√x+2, we need to examine the restrictions on the values of x that make the inequality true. Since square roots must have non-negative values, we need to ensure that the expression inside the square root, x + 2, is greater than or equal to zero. This means that x + 2 ≥ 0. Solving for x, we get x ≥ -2. Therefore, the domain of the inequality is all real numbers greater than or equal to -2.