Given that f(x)= 3x + 1. g(x)=x - 2x - 6, and h(x)= x, find each...

Transcribed Image Text:

Given that f(x)= 3x + 1. g(x)=x² - 2x - 6, and h(x)= x, find each of the following. 1. (g) (-1) 2. (8-) (-2) 4. (g-h) () 3. (hof) (1) 6. (fog) (}) 8. (h-g) (3) 10. (g g)(3) 12. (hh) (-1) 5. (8°) (5) 7. (f-h)(-3) 9. (gºg) (-2) 11. (hoh) (2) 13. (ff)(-4) 15. (heh)(x) Find (fog)(x) and (g f) (x) and the domain of each. 17. f(x) = x + 3, g(x)=x-3) 18. f(x) = x. g(x) = x 19. f(x)=x+1, g(x) = 3x² - 2x - 1 14. (/°f) (1) 16. (ff)(x) 20. f(x)= 3x - 2. g(x)=x² + 5 21. f(x)=x²-3, g(x) = 4x - 3 22. f(x) = 4x²-x + 10, g(x)=2x-7 4 23. f(x) = 5x 8(x) == 1-5x 6 1 24. f(x) = 8(x) = 2x + 1 25. f(x)= 3x - 7. g(x) = 26. f(x)=x-1.8(x) = 1.5x + 1.2 27. f(x) = 2x + 1. g(x) = √x 28. f(x)=√x, g(x) = 2 - 3x X x+7 3 29. f(x) = 20. g(x) <= 0.05 30. f(x) = x, g(x) = Vx 31. f(x)= √x + 5. g(x) = x² - 5 32. f(x)=x²-2, g(x)=√x + 2 33. f(x)= x² + 2. g(x) = √3 - x 34. f(x) = 1x², g(x)=√x²-25 35. f(x) = = 1+x 36. f(x) = -2.8(x)=¹+2 37. f(x)=x²- 5x² + 3x+ 7. g(x) =x+1 38. f(x)=x- 1. g(x)= x³ + 2x²-3x-9 Find f(x) and g(x) such that h(x) = (fog)(x). Answers may vary. 40. h(x) = √²-8 39. h(x) =(4+ 3x)³ 1 42. h(x) = 41. h(x) √3x +7 44. h(x) = 19x² - 41 46. h(x) = (√x-3)* T 1 (x - 2)² ³-1 43. h(x)=x+1 45. h(x)= 47. h(x) = x-5 Vx+ 2 48. h(x) = V1 + V₁+x 49. h(x) = (x+2)³-5(x + 2)² + 3(x+2) - 1 50. h(x) = 2(x - 1) 5/3 + 5(x - 1)2/3 Given that f(x)= 3x + 1. g(x)=x² - 2x - 6, and h(x)= x, find each of the following. 1. (g) (-1) 2. (8-) (-2) 4. (g-h) () 3. (hof) (1) 6. (fog) (}) 8. (h-g) (3) 10. (g g)(3) 12. (hh) (-1) 5. (8°) (5) 7. (f-h)(-3) 9. (gºg) (-2) 11. (hoh) (2) 13. (ff)(-4) 15. (heh)(x) Find (fog)(x) and (g f) (x) and the domain of each. 17. f(x) = x + 3, g(x)=x-3) 18. f(x) = x. g(x) = x 19. f(x)=x+1, g(x) = 3x² - 2x - 1 14. (/°f) (1) 16. (ff)(x) 20. f(x)= 3x - 2. g(x)=x² + 5 21. f(x)=x²-3, g(x) = 4x - 3 22. f(x) = 4x²-x + 10, g(x)=2x-7 4 23. f(x) = 5x 8(x) == 1-5x 6 1 24. f(x) = 8(x) = 2x + 1 25. f(x)= 3x - 7. g(x) = 26. f(x)=x-1.8(x) = 1.5x + 1.2 27. f(x) = 2x + 1. g(x) = √x 28. f(x)=√x, g(x) = 2 - 3x X x+7 3 29. f(x) = 20. g(x) <= 0.05 30. f(x) = x, g(x) = Vx 31. f(x)= √x + 5. g(x) = x² - 5 32. f(x)=x²-2, g(x)=√x + 2 33. f(x)= x² + 2. g(x) = √3 - x 34. f(x) = 1x², g(x)=√x²-25 35. f(x) = = 1+x 36. f(x) = -2.8(x)=¹+2 37. f(x)=x²- 5x² + 3x+ 7. g(x) =x+1 38. f(x)=x- 1. g(x)= x³ + 2x²-3x-9 Find f(x) and g(x) such that h(x) = (fog)(x). Answers may vary. 40. h(x) = √²-8 39. h(x) =(4+ 3x)³ 1 42. h(x) = 41. h(x) √3x +7 44. h(x) = 19x² - 41 46. h(x) = (√x-3)* T 1 (x - 2)² ³-1 43. h(x)=x+1 45. h(x)= 47. h(x) = x-5 Vx+ 2 48. h(x) = V1 + V₁+x 49. h(x) = (x+2)³-5(x + 2)² + 3(x+2) - 1 50. h(x) = 2(x - 1) 5/3 + 5(x - 1)2/3

Answer rating: 100% (QA)

To find the values of the given expressions we need to substitute the given functi... View the full answer