Practice Inverse of a Function - 24.1.5 | 24. Functions | Discrete Mathematics - Vol 1
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24.1.5 - Inverse of a Function

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define what an injective function is.

💡 Hint: Think of it as one-to-one relationships.

Question 2

Easy

Give an example of a surjective function.

💡 Hint: Consider if every output can be reached.

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 an injective function?

  • A function that is not defined
  • A function where two different inputs can yield the same output
  • A function where distinct inputs produce distinct outputs

💡 Hint: Remember the concept of one-to-one relationship.

Question 2

True or False: Every bijective function has an inverse.

  • True
  • False

💡 Hint: Think about the requirements for a function to have an inverse.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider the function f(x) = 3x – 2. Prove whether this function is bijective and determine its inverse.

💡 Hint: Check both injectivity and surjectivity to confirm bijection.

Question 2

Is it possible for a function to be injective but not surjective? Provide an example.

💡 Hint: Review the definitions to clarify the difference between injective and surjective.

Challenge and get performance evaluation