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select the correct answer. what is the domain of function \\(h\\)? \\h(…

Question

select the correct answer.

what is the domain of function \\(h\\)?

\\h(x) = \sqrt{x - 7} + 5\\

\\(x \le -7\\)

\\(x \ge 7\\)

\\(x \ge 5\\)

\\(x \le 5\\)

Explanation:

Set up the domain inequality for the square root

$$ x - 7 \ge 0 $$

Solve the inequality for x

$$ x \ge 7 $$

Answer:

  • \(x \le -7\)
  • \(x \ge 7\) (Correct answer)
  • \(x \ge 5\)
  • \(x \le 5\)