compositions with functions · 2013. 8. 23. · x-3 x+2 find the area and perimeter. x+1 bell...
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![Page 1: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/1.jpg)
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Bell Ringer
![Page 2: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/2.jpg)
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x2+4
x-3
x+2
x+1Find the Area and Perimeter.Bell Ringer
![Page 3: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/3.jpg)
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Compositions with Functions
![Page 4: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/4.jpg)
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Definitions:Domain: all possible x values of a function
Range: all possible y values of a function
Composition of Functions: the range of one function becomes the domain of another function
(f g)(x) = f(g(x))
Definitions:Domain: all possible x values of a function
Range: all possible y values of a function
Composition of Functions: the range of one function becomes the domain of another function
(f g)(x) = f(g(x))
![Page 5: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/5.jpg)
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Find:
![Page 6: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/6.jpg)
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Find:
![Page 7: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/7.jpg)
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Find:
![Page 8: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/8.jpg)
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Find:
![Page 9: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/9.jpg)
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Find:
![Page 10: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/10.jpg)
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Find:
![Page 11: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/11.jpg)
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Find:
![Page 12: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/12.jpg)
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Algebraically:
(h ○ g)(x) (g ○ h)(x)
g(x) = 2x and h(x) = x + 2
![Page 13: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/13.jpg)
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Algebraically:
f(x) = 3x2 – x + 4 and g(x) = 2x – 1
(f ○ g)(x) (g ○ f)(x)
![Page 14: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/14.jpg)
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Algebraically:
f(x) = x2 + 2x + 3 and g(x) = x + 5
(f(g(x)) (g(f(x))
![Page 15: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/15.jpg)
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Practice:
1. (f(g(1))
3. (g – f)(x)
f(x) = 3x, g(x) = x + 4, and h(x) = x2 – 1 Find each value:
2. (g ○ h)(0)
4. (f(h(x))
5. (f(g(x)) 6. (h ○ f)(x)
![Page 16: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/16.jpg)
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f(x) = x2 + 2x + 3 and g(x) = x + 5
(f/g)(x) (f*g)(x)
![Page 17: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/17.jpg)
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f(x) = 3x, g(x) = x + 4, and h(x) = x2 – 1
(fh)(x) (h/g)(x)
![Page 18: Compositions with Functions · 2013. 8. 23. · x-3 x+2 Find the Area and Perimeter. x+1 Bell Ringer. 3 Compositions with Functions. 4 ... domain range of g domain Of f l' (fog) (4)](https://reader036.vdocument.in/reader036/viewer/2022081623/6148a2092918e2056c22d072/html5/thumbnails/18.jpg)
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