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))

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.4: Operations On Functions
Problem 124E
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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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