Practice - Inverse of a Function
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Practice Questions
Test your understanding with targeted questions
Define what an injective function is.
💡 Hint: Think of it as one-to-one relationships.
Give an example of a surjective function.
💡 Hint: Consider if every output can be reached.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is an injective function?
💡 Hint: Remember the concept of one-to-one relationship.
True or False: Every bijective function has an inverse.
💡 Hint: Think about the requirements for a function to have an inverse.
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Challenge Problems
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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.
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.
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