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
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.
If f(x) = 2x and g(x) = x - 3, what is f(g(5))?
💡 Hint: First compute g(5).
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
If f(x) = x + 1 and g(x) = 2x, what is g(f(4))?
💡 Hint: Calculate f(4) first.
True or False: The order of functions in composition does not matter.
💡 Hint: Remember, g(f(x)) is usually not the same as f(g(x)).
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.