4 - Inverse of a Function
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the inverse of f(x) = x + 5?
💡 Hint: Think about how to 'undo' the addition of 5.
Determine the inverse of f(x) = 4x.
💡 Hint: What operation reverses multiplication by 4?
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the inverse of the function f(x) = 5x - 2?
💡 Hint: Consider how to reverse the subtraction and multiplication.
True or False: Only surjective functions can have inverses.
💡 Hint: What does it mean for a function to be injective?
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Determine the inverse of f(x) = (2x - 1)/(x + 3). Explain how you found your answer.
💡 Hint: Cross-multiply to eliminate the fraction.
Show that f(x) = (3x + 2)² does NOT have an inverse function.
💡 Hint: Investigate the outputs for symmetry.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.