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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the inverse of the function f(x) = 4x?
💡 Hint: Remember to switch x and y and solve for y.
Question 2
Easy
Is it true that the inverse of a function is just its opposite?
💡 Hint: Think about the definition of inverse.
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
Which of the following functions has an inverse?
- f(x) = x² for all x
- f(x) = x + 1
- f(x) = sin(x)
💡 Hint: Evaluate each function's uniqueness.
Question 2
True or False: Every function has an inverse.
- True
- False
💡 Hint: Consider the definitions of injective and surjective functions.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If f(x) = e^x, find its inverse.
💡 Hint: Use the property of logarithms to express the inverse.
Question 2
Explore the function f(x) = 2x + 1. Describe under what restrictions it remains invertible.
💡 Hint: What properties of linear functions keep it unique?
Challenge and get performance evaluation