Function Composition
Updated: 12/26/2019
Function Composition
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Storyboard Text

  • Ballet Classroom
  • Ughh we hate math!
  • Ladies your math tutor is here
  • Tutoring Lesson
  • Formula(g º f)(x)=g(f(x))
  • Today's Lesson
  • Function Composition
  • What is a function composition
  • Equation: (g º f)(x)=g(f(x))f(x)=4x+8 g(x)=x
  • (4x+8)
  • Example
  • Example #1
  • 2
  • 2
  • 16x +32x+32x+64
  • 16x+64x+64
  • 2
  • I think I get it
  • (4x+8)(4x+8)
  • 2
  • That's great Hallie, now it's your turn
  • Hallie, Mallie, and Sallie are struggling in pre-calc, so their parents hired them a tutor. If they don't bring their grades up in class they will not be able to perform in the recital.
  • Work time
  • Equation: (g º f)(x)=g(f(x))
  • f(x)=x-4g(x)=4x-1
  • 2
  • Example #2
  • Ms.Tutor is teaching the girls about Compostion Functions. Hallie asks her to explain and she says"Function Composition "is applying one function to the results of another".
  • Check Time
  • Equation: (g º f)(x)=g(f(x))
  • Hallie Adams 12/30/19
  • The x is substituted by the x^2-4
  • Example #2
  • Ms.Tutor did an example on the board and now its time for the girls to try.
  • Recital
  • Hallie is working on the practice question and asks Ms.Tutor to check her work.
  • 4x-16x-1
  • 3
  • 4x(x-4)-1
  • 2
  • Hallie Adams 12/30/19
  • Ms.Tutor can you check my work?
  • Ms.Tutor identifies a mistake and she helps correct her work.
  • 4x(x-4)-1
  • 4(x-4)-1
  • 2
  • 2
  • 4x-17
  • 4x-16-1
  • 2
  • 2
  • solve the equation like usual
  • The girls passed their test due to Ms.Tutor's lessons, and they got to perform in the recital.
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