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Lesson 4 Composition of Functions Notes Bellringer Evaluate the following: 1) j(7) 2) f -1 (8) 3) g -1 (23) 4) f(j(x)) Daily Objective: Students will be able to combine 2 functions in a composition.

Bellringer - Schenectady Math Portalschenectadymath.weebly.com/uploads/2/2/2/4/... · Lesson 4 Composition of Functions Notes Bellringer Evaluate the following: 1) j(7) 2) f-1 (8)

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Page 1: Bellringer - Schenectady Math Portalschenectadymath.weebly.com/uploads/2/2/2/4/... · Lesson 4 Composition of Functions Notes Bellringer Evaluate the following: 1) j(7) 2) f-1 (8)

Lesson 4 Composition of Functions Notes

Bellringer

Evaluate the following:1) j(7)

2) f -1(8)

3) g -1(23)

4) f(j(x))

Daily Objective:

Students will be able to

combine 2 functions in

a composition.

Page 2: Bellringer - Schenectady Math Portalschenectadymath.weebly.com/uploads/2/2/2/4/... · Lesson 4 Composition of Functions Notes Bellringer Evaluate the following: 1) j(7) 2) f-1 (8)

Lesson 4 Composition of Functions Notes

Lesson #3a More prac�ce with Inverse Func�ons if needed.

Page 3: Bellringer - Schenectady Math Portalschenectadymath.weebly.com/uploads/2/2/2/4/... · Lesson 4 Composition of Functions Notes Bellringer Evaluate the following: 1) j(7) 2) f-1 (8)

Lesson 4 Composition of Functions Notes

Inverse Functions

(x) = 5 g (12) r(4) + (-1)

r (13) (b + 4) s (-41)

Page 4: Bellringer - Schenectady Math Portalschenectadymath.weebly.com/uploads/2/2/2/4/... · Lesson 4 Composition of Functions Notes Bellringer Evaluate the following: 1) j(7) 2) f-1 (8)

Lesson 4 Composition of Functions Notes

Composition of Functions

Notice, which function comes first when evaluating (f ο g). _________________

Why do you think that is?

Page 5: Bellringer - Schenectady Math Portalschenectadymath.weebly.com/uploads/2/2/2/4/... · Lesson 4 Composition of Functions Notes Bellringer Evaluate the following: 1) j(7) 2) f-1 (8)

Lesson 4 Composition of Functions Notes

Let’s try a few:

Page 6: Bellringer - Schenectady Math Portalschenectadymath.weebly.com/uploads/2/2/2/4/... · Lesson 4 Composition of Functions Notes Bellringer Evaluate the following: 1) j(7) 2) f-1 (8)

Lesson 4 Composition of Functions Notes

Page 7: Bellringer - Schenectady Math Portalschenectadymath.weebly.com/uploads/2/2/2/4/... · Lesson 4 Composition of Functions Notes Bellringer Evaluate the following: 1) j(7) 2) f-1 (8)

Lesson 4 Composition of Functions Notes

Class work

Page 8: Bellringer - Schenectady Math Portalschenectadymath.weebly.com/uploads/2/2/2/4/... · Lesson 4 Composition of Functions Notes Bellringer Evaluate the following: 1) j(7) 2) f-1 (8)

Lesson 4 Composition of Functions Notes

Page 9: Bellringer - Schenectady Math Portalschenectadymath.weebly.com/uploads/2/2/2/4/... · Lesson 4 Composition of Functions Notes Bellringer Evaluate the following: 1) j(7) 2) f-1 (8)

Lesson 4 Composition of Functions Notes

Page 10: Bellringer - Schenectady Math Portalschenectadymath.weebly.com/uploads/2/2/2/4/... · Lesson 4 Composition of Functions Notes Bellringer Evaluate the following: 1) j(7) 2) f-1 (8)

Lesson 4 Composition of Functions Notes

Page 11: Bellringer - Schenectady Math Portalschenectadymath.weebly.com/uploads/2/2/2/4/... · Lesson 4 Composition of Functions Notes Bellringer Evaluate the following: 1) j(7) 2) f-1 (8)

Lesson 4 Composition of Functions Notes

Page 12: Bellringer - Schenectady Math Portalschenectadymath.weebly.com/uploads/2/2/2/4/... · Lesson 4 Composition of Functions Notes Bellringer Evaluate the following: 1) j(7) 2) f-1 (8)

Lesson 4 Composition of Functions Notes