What is the domain of the function f(x) = sqrt(x - 4) / (x - 6)?

A [4, ∞)

B [4, 6) U (6, ∞)

C (4, ∞)

D (-∞, 6) U (6, ∞)

✓ Correct Answer: Option B

For the square root, x - 4 ≥ 0 implies x ≥ 4. For the denominator, x - 6 ≠ 0 implies x ≠ 6. Combining these conditions gives the domain [4, 6) U (6, ∞).

💡 Why is B) the correct answer?

The correct answer to the question "What is the domain of the function f(x) = sqrt(x - 4) / (x - 6)?" is Option B: [4, 6) U (6, ∞).

The other options — A) [4, ∞), C) (4, ∞), D) (-∞, 6) U (6, ∞) — are incorrect for this CLEP Exam Prep question. As explained above: For the square root, x - 4 ≥ 0 implies x ≥ 4. For the denominator, x - 6 ≠ 0 implies x ≠ 6. Combining these conditions gives the domain [4, 6) U (6, ∞).

📚 About This CLEP Exam Prep Practice Question

This 2-level CLEP Exam Prep question from the College Algebra topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free CLEP Exam Prep practice test or use flashcards for spaced repetition review.

Practice CLEP Exam Prep Quizzes → Browse All Questions Study Flashcards

What is the domain of the function f(x) = sqrt(x - 4) / (x - 6)?

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

Related CLEP Exam Prep Questions