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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define function composition.
💡 Hint: Think about how functions interact with each other.
Question 2
Easy
What is required for composing functions?
💡 Hint: Consider the sets involved.
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
What is the main requirement for two functions to be composed?
- Range of g is subset of Domain of f
- Range of f is subset of Domain of g
- Both must be equal
💡 Hint: Think about how the functions are paired.
Question 2
True or False: Function compositions can be commuted.
- True
- False
💡 Hint: Consider what you learned about the order of operations.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation