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what is the domain of the function \\(y = \\sqrt{x} + 4\\)? \\(-\\infty…

Question

what is the domain of the function \\(y = \sqrt{x} + 4\\)?

\\(-\infty < x < \infty\\)
\\(-4 \le x < \infty\\)
\\(0 \le x < \infty\\)
\\(4 \le x < \infty\\)

Explanation:

Set up the domain inequality for the square root

$$ x \ge 0 $$

Express the domain in inequality notation

$$ 0 \le x < \infty $$

Answer:

  • (A) \(-\infty < x < \infty\)
  • (B) \(-4 \le x < \infty\)
  • (C) \(0 \le x < \infty\) (Correct answer)
  • (D) \(4 \le x < \infty\)