Function Composition Quiz
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Questions and Answers

Which one of the following best describes the composition of two functions, f and g, denoted as (/ o g)?

  • The rule of function f is applied twice
  • The rule of function g is applied twice
  • The rule of function g is applied first, and then the rule of function f is applied (correct)
  • The rule of function f is applied first, and then the rule of function g is applied

    • If the range of function g intersects with the domain of function f, what can we say about the composition (/ o g)?

  • The composition (/ o g) is equal to zero
  • The composition (/ o g) is not defined
  • The composition (/ o g) is equal to one
  • The composition (/ o g) is defined (correct)

    • What is the domain of the composition (/ o g)?

  • The domain of (/ o g) consists of values of x in the domain of g
  • The domain of (/ o g) consists of all values of x
  • The domain of (/ o g) consists of values of x in the intersection of the domain of g and the range of f (correct)
  • The domain of (/ o g) consists of values of x in the domain of f

    • What is the notation used to represent the composition of two functions, f and g?

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