📝 Inverse Functions

📖 From Calculus • 1. Basics Before Calculus • 55 questions available

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

🔄 Last updated: 2026-06-27

Easy Questions

Medium Questions

Hard Questions

Q1. Which condition is necessary for a function \(f\) to have an inverse?

🔹 A. \(f\) is continuous

🔹 B. \(f\) is one-to-one

🔹 C. \(f\) is differentiable

🔹 D. \(f\) is increasing

💡 Difficulty: easy | ✅ Correct: B

Q2. If \(g(x)\) is the inverse of \(f(x)\) and \(f(4) = 8\), then \(g(8) = ?\)

🔹 A. \(4\)

🔹 B. \(8\)

🔹 C. \(\frac{1}{4}\)

🔹 D. \(\frac{1}{8}\)

💡 Difficulty: medium | ✅ Correct: A

Q3. What is the inverse of \(f(x) = \sqrt{x + 2} - 1\)?

🔹 A. \((x + 1)^2 - 2\)

🔹 B. \((x - 1)^2 - 2\)

🔹 C. \((x + 1)^2 + 2\)

🔹 D. \((x - 1)^2 + 2\)

💡 Difficulty: hard | ✅ Correct: A

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