3 - 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 the composition of functions.
💡 Hint: Think about how one function feeds into another.
Provide the notation for composing functions f and g.
💡 Hint: Consider how we read functions as acting sequentially.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the composition of functions do?
💡 Hint: Think about how functions interact with their outputs.
True or False: A function must be bijective to have an inverse.
💡 Hint: Remember the definitions of injective and surjective.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
If f(x) = 5 - 2x and g(x) = x², find g∘f(-1) and interpret the meaning of your result.
💡 Hint: Evaluate the functions step by step with careful substitution.
Consider the functions f(x) = 2x + 1 and g(x) = (x - 1)/2. Find the value of f(g(3)).
💡 Hint: Apply each function in sequence to trace the original input.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.