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
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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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
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