4.5 Composite Functions

📖 Chapter 4 Derivatives
📄 Page 151
🎥 50 videos
Total Videos
50
Playlists
2
Textbook Page
151
Grade Level
12

advfunCalcHarcour4.5

34 videos

1

001. Q1a

Question
📚 Related Lectures
12.6.1 ADVFUN, Composite Functions, given Functions, determine fog=gof
🎓 001. Comparing fog and gof
2

001. Q1b

Question
📚 Related Lectures
12.6.1 ADVFUN, Composite Functions, given Functions, determine fog=gof
🎓 001. Comparing fog and gof
3

001. Q1c

Question
📚 Related Lectures
12.6.1 ADVFUN, Composite Functions, given Functions, determine fog=gof
🎓 001. Comparing fog and gof
4

001. Q1d

Question
📚 Related Lectures
12.6.1 ADVFUN, Composite Functions, given Functions, determine fog=gof
🎓 001. Comparing fog and gof
5

001. Q1e

Question
📚 Related Lectures
12.6.1 ADVFUN, Composite Functions, given Functions, determine fog=gof
🎓 001. Comparing fog and gof
6

001. Q1f

Question
📚 Related Lectures
12.6.1 ADVFUN, Composite Functions, given Functions, determine fog=gof
🎓 001. Comparing fog and gof
7

002. Q2a

Question
Answer
📚 Related Lectures
12.6.1 ADVFUN, Composite Functions, given Functions, determine fog=gof
🎓 001. Comparing fog and gof
8

002. Q2b

Question
Answer
📚 Related Lectures
12.6.1 ADVFUN, Composite Functions, given Functions, determine fog=gof
🎓 001. Comparing fog and gof
9

002. Q2c

Question
Answer
📚 Related Lectures
12.6.1 ADVFUN, Composite Functions, given Functions, determine fog=gof
🎓 001. Comparing fog and gof
10

003. Q3a

Question
Answer
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.linear.sqrt, combine
🎓 001. Combining sqrt function with linear
🎬 1vUpsNn0o20
▶ Watch
11

003. Q3b

Question
Answer
📚 Related Lectures
12.6 AdvFun, Combined Functions, given.three.function, find.fogoh
🎓 001. Evaluating fogoh
12

003. Q3b

Question
Answer
13

003. Q3c

Question
Answer
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.poly.poly, combine
🎓 001. Sum of Polynomial Functions
🎓 002. Composite of polynomial functions
14

003. Q3d

Question
Answer
15

003. Q3e

Question
Answer
16

003. Q3f

Question
Answer
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.poly.poly, combine
🎓 001. Sum of Polynomial Functions
🎓 002. Composite of polynomial functions
17

003. Q3h

Question
Answer
📚 Related Lectures
12.6 AdvFun, Combined Functions, given.three.function, find.fogoh
🎓 001. Evaluating fogoh
18

003. Q3i

Question
Answer
📚 Related Lectures
12.6 AdvFun, Combined Functions, given.three.function, find.fogoh
🎓 001. Evaluating fogoh
19

004. Q4a

Question
Answer
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.fog.Polynomial, decompose.find.f.and.g
🎓 001. Decomposition
20

004. Q4b

Question
Answer
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.fog.Polynomial, decompose.find.f.and.g
🎓 001. Decomposition
21

004. Q4c

Question
Answer
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.fog.Polynomial, decompose.find.f.and.g
🎓 001. Decomposition
22

004. Q4d

Question
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.fog.Polynomial, decompose.find.f.and.g
🎓 001. Decomposition
23

004. Q4e

Question
Answer
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.fog.Polynomial, decompose.find.f.and.g
🎓 001. Decomposition
24

004. Q4f

Question
Answer
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.fog.Polynomial, decompose.find.f.and.g
🎓 001. Decomposition
25

005. Q5

Question
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.f.f+g, find g
🎓 001. Combined Functions, given f f+g, find g
26

006. Q6

Question
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.f.f+g, find g
🎓 001. Combined Functions, given f f+g, find g
27

007. Q7

Question
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.f.f+g, find g
🎓 001. Combined Functions, given f f+g, find g
28

008. Q8

Question
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.f.f+g, find g
🎓 001. Combined Functions, given f f+g, find g
29

009. Q9

Question
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.f.f+g, find g
🎓 001. Combined Functions, given f f+g, find g
30

010. Q10a

Question
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.linear.rational, combine
🎓 001. Find fg where f and g are linear and rational
31

010. Q10b

Question
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.rat.rat, combine
🎓 001. Composition with two rational function
32

011. Q11

Question
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.linear.quad, find.fog(x)
🎓 001. Algebraic composition between linear and quadratic
33

012. Q12a

Question
34

012. Q12b

Question
📚 Related Lectures
12.6 ADVFUN, Combined Functions, given.functions, combine.with.inverse
🎓 001. Composite of Inverses

AdvFunsCh5.4lectureTube

16 videos

📺 View Playlist
1

000. Section Intro

🎬 e2oXabjULfQ
▶ Watch
2

001. Introduction to Composition of Functions

Question
Answer
⏱️ 5:520🎬 ZyzEX2PjvC0
▶ Watch
3

002. Identifying parts of Composite Functions

Question
Answer
⏱️ 1:320🎬 uWO95lsjxeE
▶ Watch
4

003. Composition using set of points

Question
Answer
⏱️ 2:490🎬 Gc7K6PhS5Ag
▶ Watch
5

004. Domain of Composite Function

Question
Answer
⏱️ 3:260🎬 bm-V12FzLqA
▶ Watch
6

005. Domain of Composite Fn

Question
Answer
⏱️ 4:460🎬 9OD4BLz8o-w
▶ Watch
7

006. Domain Ex Adv

Question
Answer
⏱️ 2:040🎬 wGKid0xxjC8
▶ Watch
8

007. Domain ex2

Question
Answer
⏱️ 1:330🎬 CSG3mVCdnsI
▶ Watch
9

008. Even Function

Question
Answer
⏱️ 4:490🎬 8QJie4rAgF4
▶ Watch
10

009. Odd Function

Question
Answer
⏱️ 3:350🎬 hV4Mis9Wlf0
▶ Watch
11

010. Composition with algegra

Question
Answer
⏱️ 3:540🎬 WCS6Rz_yy1g
▶ Watch
12

011. Decomposition

Question
Answer
⏱️ 1:590🎬 fmd2l-nDn4w
▶ Watch
13

012. Triple composition

Question
Answer
⏱️ 2:060🎬 IHrwJwcWNxU
▶ Watch
14

013. Decomposition example

Question
Answer
⏱️ 1:280🎬 UfDbFkGBqKA
▶ Watch
15

014. Decomposition example 3

Question
Answer
⏱️ 1:190🎬 jh9jpLlckiQ
▶ Watch
16

015. Sketching degree 1 Rational Function

Question
Answer
⏱️ 2:030🎬 N_XAu8i8mBg
▶ Watch