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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the composition of functions.
💡 Hint: Think about how one function feeds into another.
Question 2
Easy
Provide the notation for composing functions f and g.
💡 Hint: Consider how we read functions as acting sequentially.
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 does the composition of functions do?
- Creates a new function using two outputs.
- Combines two functions by replacing inputs with outputs.
- Forms a product of two functions.
💡 Hint: Think about how functions interact with their outputs.
Question 2
True or False: A function must be bijective to have an inverse.
- True
- False
💡 Hint: Remember the definitions of injective and surjective.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation