Let f(x)=x²- 2x + 4. g(x)=1/x², mine the following functions. 31. f(g(x)) 33. g(h(x)) 35. f(h(x)) and h(x)=1/(√x - 1). Deter- 32. g(f(x)) 34. h(g(x)) 36. h(f(x))

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 14T
icon
Related questions
Question
Needed to be solved question 31 ,Q33 and Q35 correctly in 30 minutes correctly and get the thumbs up please show neat and clean work for it By hand solution needed for it
Let f(x)=x/(x²-1), g(x)=(1-x)/(1+x),
Express the following as rational functions.
25. f(x) - g(x)
27. g(x) - h(x)
29. g(x) h(x-3)
and h(x) = 2/(3x + 1).
26. f(x) g(x + 1)
28. f(x) + h(x)
30. f(x) + g(x)
Let f(x)=x² - 2x + 4. g(x)=1/x², and h(x) = 1/(√x - 1). Deter-
mine the following functions.
31. f(g(x))
33. g(h(x))
35. f(h(x))
37. Simplify (81)3/4, 85/3, and (.25)-¹.
38. Simplify (100) 3/2 and (.001)1/3
32. g(/(x))
34. h(g(x))
36. h(f(x))
39. Carbon Monoxide Levels The population of a city is estimated
to be 750 + 25 + 1² thousand people years from the pr
Transcribed Image Text:Let f(x)=x/(x²-1), g(x)=(1-x)/(1+x), Express the following as rational functions. 25. f(x) - g(x) 27. g(x) - h(x) 29. g(x) h(x-3) and h(x) = 2/(3x + 1). 26. f(x) g(x + 1) 28. f(x) + h(x) 30. f(x) + g(x) Let f(x)=x² - 2x + 4. g(x)=1/x², and h(x) = 1/(√x - 1). Deter- mine the following functions. 31. f(g(x)) 33. g(h(x)) 35. f(h(x)) 37. Simplify (81)3/4, 85/3, and (.25)-¹. 38. Simplify (100) 3/2 and (.001)1/3 32. g(/(x)) 34. h(g(x)) 36. h(f(x)) 39. Carbon Monoxide Levels The population of a city is estimated to be 750 + 25 + 1² thousand people years from the pr
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning