← Back to 1. Basics Before Calculus

📝 New Functions from Old

📖 From Calculus • 1. Basics Before Calculus • 41 questions available

Practice MCQs for New Functions from Old. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-06-27

20
Easy Questions
15
Medium Questions
6
Hard Questions

📝 Sample Questions

Q1. Given \(f(x) = \sqrt{x}\) and \(g(x) = x - 3\), what is the domain of \((f/g)(x)\)?

🔹 A. \([0, \infty)\)
🔹 B. \([0, 3) \cup (3, \infty)\)
🔹 C. \((3, \infty)\)
🔹 D. \([0, 3]\)

💡 Difficulty: easy | ✅ Correct: B

Q2. The graph of \(y = f(2x)\) compared to \(y = f(x)\) is a

🔹 A. horizontal stretch by factor of 2
🔹 B. vertical compression by factor of 2
🔹 C. horizontal compression by factor of 2
🔹 D. vertical stretch by factor of 2

💡 Difficulty: medium | ✅ Correct: C

Q3. If \(f(x) = x^2 + 3\) and \(g(x) = x - 2\), what is \((f \circ g)(x)\)?

🔹 A. \(x^2 - 2x + 1\)
🔹 B. \(x^2 - 4x + 1\)
🔹 C. \(x^2 - 4x + 7\)
🔹 D. \(x^2 + x - 4\)

💡 Difficulty: hard | ✅ Correct: C

⬆️ View all questions in the quiz below

🔗 Related Topics

📝 Approximating Roots📝 Areas and Limits📝 Continuity in Applications📝 Continuity of Compositions📝 Continuity of Inverse Functions
🚀 Start Quiz 📝 Practice Mode