Practice Inverse of a Function - 4 | Chapter 1 – Relations and Functions | ICSE Class 12 Mathematics
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the inverse of f(x) = x + 5?

💡 Hint: Think about how to 'undo' the addition of 5.

Question 2

Easy

Determine the inverse of f(x) = 4x.

💡 Hint: What operation reverses multiplication by 4?

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the inverse of the function f(x) = 5x - 2?

💡 Hint: Consider how to reverse the subtraction and multiplication.

Question 2

True or False: Only surjective functions can have inverses.

  • True
  • False

💡 Hint: What does it mean for a function to be injective?

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Determine the inverse of f(x) = (2x - 1)/(x + 3). Explain how you found your answer.

💡 Hint: Cross-multiply to eliminate the fraction.

Question 2

Show that f(x) = (3x + 2)² does NOT have an inverse function.

💡 Hint: Investigate the outputs for symmetry.

Challenge and get performance evaluation