Question

select the correct answer.

what is the range of function (g)?

(g(x) = \sqrt{x - 1} + 2)

(y \le 1)
(y \ge 1)
(y \le 2)
(y \ge 2)

Explanation:

Analyze the range of the principal square root term

$$ \sqrt{x - 1} \ge 0 \quad \text{for all } x \ge 1 $$

Determine the range of the function g(x)

$$
LATEXBLOCK0
$$

Answer:

• \(y \le 1\)
• \(y \ge 1\)
• \(y \le 2\)
• \(y \ge 2\) (Correct answer)