Practice - Composition of Functions
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
Define function composition.
💡 Hint: Think about how functions interact with each other.
What is required for composing functions?
💡 Hint: Consider the sets involved.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main requirement for two functions to be composed?
💡 Hint: Think about how the functions are paired.
True or False: Function compositions can be commuted.
💡 Hint: Consider what you learned about the order of operations.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Let f(x) = 2x, g(x) = x + 5, and h(x) = x^2. Compute h◦(f◦g)(x) and determine if the result matches (h◦f)◦g(x).
💡 Hint: Calculate both sides step by step, evaluating at similar points.
Propose a different pair of functions, f and g, and demonstrate that f◦g is not equal to g◦f by providing specific values.
💡 Hint: Choose different simple functions to illustrate this behavior.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.