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Questions and Answers
Which of the following best defines the composition of functions?
Which of the following best defines the composition of functions?
- The process of graphing a function
- The process of combining two or more functions to create a new function (correct)
- The process of simplifying a function to its most basic form
- The process of finding the inverse of a function
What is the result of composing the functions f(x) = 2x + 3 and g(x) = x^2?
What is the result of composing the functions f(x) = 2x + 3 and g(x) = x^2?
- g(f(x)) = 2x^2 + 3
- f(g(x)) = x^2 + 2x + 3 (correct)
- f(g(x)) = 2x^2 + 3
- g(f(x)) = x^2 + 2x + 3
Which of the following statements about composition of functions is true?
Which of the following statements about composition of functions is true?
- The composition of two functions is always associative
- The order of composition does not matter (correct)
- The composition of two functions is always commutative
- The composition of two functions is always distributive
