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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Given f(x) = x + 1 and g(x) = 2x, find g(f(2)).
💡 Hint: Calculate the output of f first, then substitute it into g.
Question 2
Easy
If f(x) = 2x and g(x) = x - 3, what is f(g(5))?
💡 Hint: First compute g(5).
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
If f(x) = x + 1 and g(x) = 2x, what is g(f(4))?
- 8
- 10
- 9
💡 Hint: Calculate f(4) first.
Question 2
True or False: The order of functions in composition does not matter.
- True
- False
💡 Hint: Remember, g(f(x)) is usually not the same as f(g(x)).
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the functions f(x) = x - 1 and g(x) = 2x + 3, find the compositions g(f(x)) and f(g(x)), and determine if they yield the same results.
💡 Hint: Remember to calculate each composition separately.
Question 2
If f(x) = x/3 + 2 and g(x) = 5x - 1, calculate g(f(9)) and f(g(9)). Are they equal, and explain why or why not?
💡 Hint: Carefully evaluate each step and check your calculations.
Challenge and get performance evaluation