Function Composition

Updated: 12/26/2019

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- 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.