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in Exercises 29-34, state wneiner each of ine junctions is one-to-one. 29. f(x)=-3x+2 30. f(x)= 1 32. f(x)=-3x²+1 33. f(x) =-2x³ +4 In Exercises 35-54, find the inverse of the given function and graph both on the same set of axes. 35. f(x)= 36. g(x)=x 37. f(x)=-4x+ 39. f(x)=x³-6 42. g(x)=x²-6, x20 9 5 38. f(s)-2- 41. g(x)=x²+8, x20 44. g(x)=3x³-5 47. f(x)= 50. g(x)=(x + 2)², x=-2 2x x-1 53. f(x)= = 31. f(x)=2x²-3 34. f(x)=x³-5 45. f(x)=-4x³ +9 48. g(x)=1 2x 51. f(x)=√x+3,x≥-3 54. f(x)= x+3 X 40. f(x) = -x³+4 43. f(x)=-2x³ +7 46. g(x)=2x5-6 49. g(x)=(x-1)²,x21 52. f(x)=√x-4,x24

in Exercises 29-34, state wneiner each of ine junctions is one-to-one. 29. f(x)=-3x+2 30. f(x)= 1 32. f(x)=-3x²+1 33. f(x) =-2x³ +4 In Exercises 35-54, find the inverse of the given function and graph both on the same set of axes. 35. f(x)= 36. g(x)=x 37. f(x)=-4x+ 39. f(x)=x³-6 42. g(x)=x²-6, x20 9 5 38. f(s)-2- 41. g(x)=x²+8, x20 44. g(x)=3x³-5 47. f(x)= 50. g(x)=(x + 2)², x=-2 2x x-1 53. f(x)= = 31. f(x)=2x²-3 34. f(x)=x³-5 45. f(x)=-4x³ +9 48. g(x)=1 2x 51. f(x)=√x+3,x≥-3 54. f(x)= x+3 X 40. f(x) = -x³+4 43. f(x)=-2x³ +7 46. g(x)=2x5-6 49. g(x)=(x-1)²,x21 52. f(x)=√x-4,x24

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Number 51, please.

**Exercises 29-54: Identifying One-to-One Functions and Finding Inverses** --- **Exercises 29-34: Determine if each function is one-to-one.** 29. \( f(x) = -3x + 2 \) 30. \( f(x) = \frac{4}{3}x + 1 \) 31. \( f(x) = 2x^2 - 3 \) 32. \( f(x) = -3x^2 + 1 \) 33. \( f(x) = -2x^3 + 4 \) 34. \( f(x) = \frac{1}{3}x^3 - 5 \) --- **Exercises 35-54: Find the inverse of the given function and graph both on the same set of axes.** 35. \( f(x) = \frac{2}{3}x \) 36. \( g(x) = \frac{4}{3}x \) 37. \( f(x) = -4x + \frac{1}{5} \) 38. \( f(x) = 2x - \frac{9}{5} \) 39. \( f(x) = x^3 - 6 \) 40. \( g(x) = x^3 + 4 \) 41. \( g(x) = \sqrt{x + 8}, x \geq 0 \) 42. \( g(x) = x^2 - 6, x \geq 0 \) 43. \( f(x) = 2x^3 + 7 \) 44. \( g(x) = 3x^3 - 5 \) 45. \( f(x) = -4x^5 + 9 \) 46. \( g(x) = 2x^5 - 6 \) 47. \( f(x) = \frac{1}{3}x^4 \) 48. \( g(x) = \frac{-1}{2x} \) 49. \( g(x) = (x - 1)^2, x \geq 1 \) 50. \( g(x) = (x + 2)^2, x = -2 \) 51. \( f(x) = \sqrt{x + 3}, x = 3 \) 52. \( g(x) = \sqrt{x - 4
Transcribed Image Text:**Exercises 29-54: Identifying One-to-One Functions and Finding Inverses** --- **Exercises 29-34: Determine if each function is one-to-one.** 29. \( f(x) = -3x + 2 \) 30. \( f(x) = \frac{4}{3}x + 1 \) 31. \( f(x) = 2x^2 - 3 \) 32. \( f(x) = -3x^2 + 1 \) 33. \( f(x) = -2x^3 + 4 \) 34. \( f(x) = \frac{1}{3}x^3 - 5 \) --- **Exercises 35-54: Find the inverse of the given function and graph both on the same set of axes.** 35. \( f(x) = \frac{2}{3}x \) 36. \( g(x) = \frac{4}{3}x \) 37. \( f(x) = -4x + \frac{1}{5} \) 38. \( f(x) = 2x - \frac{9}{5} \) 39. \( f(x) = x^3 - 6 \) 40. \( g(x) = x^3 + 4 \) 41. \( g(x) = \sqrt{x + 8}, x \geq 0 \) 42. \( g(x) = x^2 - 6, x \geq 0 \) 43. \( f(x) = 2x^3 + 7 \) 44. \( g(x) = 3x^3 - 5 \) 45. \( f(x) = -4x^5 + 9 \) 46. \( g(x) = 2x^5 - 6 \) 47. \( f(x) = \frac{1}{3}x^4 \) 48. \( g(x) = \frac{-1}{2x} \) 49. \( g(x) = (x - 1)^2, x \geq 1 \) 50. \( g(x) = (x + 2)^2, x = -2 \) 51. \( f(x) = \sqrt{x + 3}, x = 3 \) 52. \( g(x) = \sqrt{x - 4
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