Composite functions - Relations and Functions

Composite functions

Lessons

  • Intro Lesson
    What is a "Composite Function"?
  • 1.
    Introduction to Composite Functions
    If f(x)=4x5f(x)= 4x-5
    g(x)=8x2+6g(x)=8x^2+6
    Determine
  • 2.
    Evaluate a Composite Function Graphically
    Use the graphs of f(x)f(x) and g(x)g(x) to evaluate the following:


    Composite functions
  • 3.
    Determine the Composition of Three Functions
    Use the functions f(x)=3x,f(x)=3x,
    g(x)=x7g(x)=x-7
    and h(x)=x2h(x)=x^2
    to determine each of the following:
  • 4.
    Determine the Original Functions From a Composite Function
    If h(x)=(fg)(x)h(x)=(f\circ g)(x)
    determine f(x)f(x)
    and g(x)g(x)
  • 5.
    Composite Functions with Restrictions
    Consider f(x)=x13f(x)=\sqrt{x-13}
    and g(x)=x2+4g(x)=x^2+4 , for each of the function below:
  • 6.
    Composite Functions with Restrictions
    Consider f(x)=x13f(x)=\sqrt{x-13}
    and g(x)=x2+4g(x)=x^2+4 , for each of the function below:
    i) state the domain and range
    ii) sketch the graph.
Teacher pug

Composite functions

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