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283 Combining Functions Section 3.6 11. 12. 4. 4 2 -2 -2 -4 -4 -4 -2 0 2 4 -4 -2 2 4 13. 14. 4 4 0+ 0+ -2 -2 -4 -4 -4 -2 0 -4 -2 4 In each of the following problems, find a. the formula and domain for f+ g, and b. the formula and domain for See Examples 2 and 3. 15. f(x)=|x| and g (x) = Vx 16. f(x) = x² -1 and g(x)= {x %3D 3 17. f(x)=x-1 and g(x) = x² – 1 18. f(x)= x² and g (x)= x – 3 19. f(x) = 3x and g(x)= x' –8 20. f(x) = x² +4 and g (x) = /x – 2 2 21. f(x)=-2x² and g(x)=|x+4| 22. f (x)= 6x – 1 and g (x) = x³ 4- ఉం 2. 2. 2. Chapter 3 In each of the following problems, use the information given to determine (f.ea See Examples 4 and 5. %3D 24. f(n)= n2 and g (3) = t 23. f(-5)= 2 and g(3)= -5 26. f(x)= Vx2 -9 and g(x) = 1-2x 4x %3D 25. f(x) = x-3 and g(x) = Vx 3. %3D 3 %3D 27. f(x)= 2+ Vx and g(x)= x'+x? 28. f(x)= x2 -3 and g(x) = Зx and g(x) = x*-x³ -x² -x 14 29. f(x) = Vx+6 and g(x)= /4x -3 30. f(x)=, 32. 31. y 4 4 0+ -2 -2 -4 -4 -4 -2 4 -4 -2 2 4 33. y 4 0+ -2 -4 -4 -2 2 4 In each of the following problems, find a. the formula and domain for fog, and b. the formula and domain for gof. See Example 6. 34. f(x)= /x-1 and g(x)= x² 35. f(x)=- 1 and g(x) = x – 1 х 36. f(x)=**-2 = - 4х-2 and g (x) 37. f(x)=1-x and g(x) = Jx %3D 38. f(x)=|x-3| and g(x)=x'+1 39. f(x)=x² +2x and g(x)= x- 3

283 Combining Functions Section 3.6 11. 12. 4. 4 2 -2 -2 -4 -4 -4 -2 0 2 4 -4 -2 2 4 13. 14. 4 4 0+ 0+ -2 -2 -4 -4 -4 -2 0 -4 -2 4 In each of the following problems, find a. the formula and domain for f+ g, and b. the formula and domain for See Examples 2 and 3. 15. f(x)=|x| and g (x) = Vx 16. f(x) = x² -1 and g(x)= {x %3D 3 17. f(x)=x-1 and g(x) = x² – 1 18. f(x)= x² and g (x)= x – 3 19. f(x) = 3x and g(x)= x' –8 20. f(x) = x² +4 and g (x) = /x – 2 2 21. f(x)=-2x² and g(x)=|x+4| 22. f (x)= 6x – 1 and g (x) = x³ 4- ఉం 2. 2. 2. Chapter 3 In each of the following problems, use the information given to determine (f.ea See Examples 4 and 5. %3D 24. f(n)= n2 and g (3) = t 23. f(-5)= 2 and g(3)= -5 26. f(x)= Vx2 -9 and g(x) = 1-2x 4x %3D 25. f(x) = x-3 and g(x) = Vx 3. %3D 3 %3D 27. f(x)= 2+ Vx and g(x)= x'+x? 28. f(x)= x2 -3 and g(x) = Зx and g(x) = x*-x³ -x² -x 14 29. f(x) = Vx+6 and g(x)= /4x -3 30. f(x)=, 32. 31. y 4 4 0+ -2 -2 -4 -4 -4 -2 4 -4 -2 2 4 33. y 4 0+ -2 -4 -4 -2 2 4 In each of the following problems, find a. the formula and domain for fog, and b. the formula and domain for gof. See Example 6. 34. f(x)= /x-1 and g(x)= x² 35. f(x)=- 1 and g(x) = x – 1 х 36. f(x)=**-2 = - 4х-2 and g (x) 37. f(x)=1-x and g(x) = Jx %3D 38. f(x)=|x-3| and g(x)=x'+1 39. f(x)=x² +2x and g(x)= x- 3

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 42E
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283 Combining Functions Section 3.6 11. 12. 4. 4 2 -2 -2 -4 -4 -4 -2 0 2 4 -4 -2 2 4 13. 14. 4 4 0+ 0+ -2 -2 -4 -4 -4 -2 0 -4 -2 4 In each of the following problems, find a. the formula and domain for f+ g, and b. the formula and domain for See Examples 2 and 3. 15. f(x)=|x| and g (x) = Vx 16. f(x) = x² -1 and g(x)= {x %3D 3 17. f(x)=x-1 and g(x) = x² – 1 18. f(x)= x² and g (x)= x – 3 19. f(x) = 3x and g(x)= x' –8 20. f(x) = x² +4 and g (x) = /x – 2 2 21. f(x)=-2x² and g(x)=|x+4| 22. f (x)= 6x – 1 and g (x) = x³ 4- ఉం 2. 2. 2.
Transcribed Image Text:283 Combining Functions Section 3.6 11. 12. 4. 4 2 -2 -2 -4 -4 -4 -2 0 2 4 -4 -2 2 4 13. 14. 4 4 0+ 0+ -2 -2 -4 -4 -4 -2 0 -4 -2 4 In each of the following problems, find a. the formula and domain for f+ g, and b. the formula and domain for See Examples 2 and 3. 15. f(x)=|x| and g (x) = Vx 16. f(x) = x² -1 and g(x)= {x %3D 3 17. f(x)=x-1 and g(x) = x² – 1 18. f(x)= x² and g (x)= x – 3 19. f(x) = 3x and g(x)= x' –8 20. f(x) = x² +4 and g (x) = /x – 2 2 21. f(x)=-2x² and g(x)=|x+4| 22. f (x)= 6x – 1 and g (x) = x³ 4- ఉం 2. 2. 2.
Chapter 3 In each of the following problems, use the information given to determine (f.ea See Examples 4 and 5. %3D 24. f(n)= n2 and g (3) = t 23. f(-5)= 2 and g(3)= -5 26. f(x)= Vx2 -9 and g(x) = 1-2x 4x %3D 25. f(x) = x-3 and g(x) = Vx 3. %3D 3 %3D 27. f(x)= 2+ Vx and g(x)= x'+x? 28. f(x)= x2 -3 and g(x) = Зx and g(x) = x*-x³ -x² -x 14 29. f(x) = Vx+6 and g(x)= /4x -3 30. f(x)=, 32. 31. y 4 4 0+ -2 -2 -4 -4 -4 -2 4 -4 -2 2 4 33. y 4 0+ -2 -4 -4 -2 2 4 In each of the following problems, find a. the formula and domain for fog, and b. the formula and domain for gof. See Example 6. 34. f(x)= /x-1 and g(x)= x² 35. f(x)=- 1 and g(x) = x – 1 х 36. f(x)=**-2 = - 4х-2 and g (x) 37. f(x)=1-x and g(x) = Jx %3D 38. f(x)=|x-3| and g(x)=x'+1 39. f(x)=x² +2x and g(x)= x- 3
Transcribed Image Text:Chapter 3 In each of the following problems, use the information given to determine (f.ea See Examples 4 and 5. %3D 24. f(n)= n2 and g (3) = t 23. f(-5)= 2 and g(3)= -5 26. f(x)= Vx2 -9 and g(x) = 1-2x 4x %3D 25. f(x) = x-3 and g(x) = Vx 3. %3D 3 %3D 27. f(x)= 2+ Vx and g(x)= x'+x? 28. f(x)= x2 -3 and g(x) = Зx and g(x) = x*-x³ -x² -x 14 29. f(x) = Vx+6 and g(x)= /4x -3 30. f(x)=, 32. 31. y 4 4 0+ -2 -2 -4 -4 -4 -2 4 -4 -2 2 4 33. y 4 0+ -2 -4 -4 -2 2 4 In each of the following problems, find a. the formula and domain for fog, and b. the formula and domain for gof. See Example 6. 34. f(x)= /x-1 and g(x)= x² 35. f(x)=- 1 and g(x) = x – 1 х 36. f(x)=**-2 = - 4х-2 and g (x) 37. f(x)=1-x and g(x) = Jx %3D 38. f(x)=|x-3| and g(x)=x'+1 39. f(x)=x² +2x and g(x)= x- 3
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