Composition of Functions
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Questions and Answers

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?

  • 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?

  • 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

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