nctions For each of the functions in Problems 30 to 33, find f + g, fg, and, flg. Also give the domain of each of these functions. x – 2 and g(x) = x2 - x - 2 x +1 30. f(x) =
nctions For each of the functions in Problems 30 to 33, find f + g, fg, and, flg. Also give the domain of each of these functions. x – 2 and g(x) = x2 - x - 2 x +1 30. f(x) =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
Related questions
Question
Question 30
![68
Chapter 1 Modeling with Functions
17. у — 1 — е -*
18. y = -|x|/2
28. y = |x + 1|² + 6
19. у — 1 — 2|x|
29. у 3 (х? — 1)' + /x2 — 1 +5
-
-
20. Find the indicated values given the functions
For each of the functions in Problems 30 to 33, find
f +g, fg, and, f/g. Also give the domain of each of
these functions.
f
3D (0, 1), (1, 4), (2, 7), (3, 10)} аnd
g = {(0, 3), (1, –1), (2, 1), (3, 3)}
a. (f + g)(1)
30. f(x) :
х — 2
and g(x) = x² – x – 2
b. (f – g)(2)
x +1
2x2
31. f(x) =
3
and g(x) = x² –- x – 2
c. (fg)(2)
d. (f/g)(0)
x +1
32. f(x) = /1=x and g(x) = v4 – x²
33. f(x) 3D V4 —х? and g(x) %3 sin(тх)
e. (fog)(2)
-
21. Find the indicated values given the functions
2x2 – 5x +2
f(x) =
Level 2 APPLIED AND THEORY PROBLEMS
х — 2
34. The tides for Hell Gate, Wards Island, New York, on
September 6,2004, are given by the following table:
and
g(x) = x² – x – 2
-
a. (f + g)(-1)
Time
Height (ft)
Tide
b. (f – g)(2)
12:08 A.M.
2.1
Low
c. (fg)(9)
5:19 A.M.
High
5.8
d. (f/g)(99)
12:00 noon
2.1
Low
e. (f o g)(0)
22. Let f(t) be a periodic function with period p = 2n
and amplitude a = 1. Show that the given functions
are periodic and find their period and amplitude.
Let
T(t) = Acos[B (t + C)]+ Dfeet
denote the height of the tide t hours after midnight.
Find values of A, B, C, and D such that the function
a. f(t – 1) + 2
fits the Hell Gate tide data.
b. 5 f(t)
35. The tides for Bodega Bay, California, on March 10,
2005, are given by the following table:
с. f
IT
d. 25 (1 +5) – 3
IT
Time
Height (ft)
Tide
23. Let f(t) be a periodic function with period p = T
4:36 A.M.
1.1
Low](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4db1e84-75df-498d-9686-5cabfd0e0c2f%2Fa38224c7-cdfc-4efe-a04f-ad0c920f498c%2Fwcqvbcn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:68
Chapter 1 Modeling with Functions
17. у — 1 — е -*
18. y = -|x|/2
28. y = |x + 1|² + 6
19. у — 1 — 2|x|
29. у 3 (х? — 1)' + /x2 — 1 +5
-
-
20. Find the indicated values given the functions
For each of the functions in Problems 30 to 33, find
f +g, fg, and, f/g. Also give the domain of each of
these functions.
f
3D (0, 1), (1, 4), (2, 7), (3, 10)} аnd
g = {(0, 3), (1, –1), (2, 1), (3, 3)}
a. (f + g)(1)
30. f(x) :
х — 2
and g(x) = x² – x – 2
b. (f – g)(2)
x +1
2x2
31. f(x) =
3
and g(x) = x² –- x – 2
c. (fg)(2)
d. (f/g)(0)
x +1
32. f(x) = /1=x and g(x) = v4 – x²
33. f(x) 3D V4 —х? and g(x) %3 sin(тх)
e. (fog)(2)
-
21. Find the indicated values given the functions
2x2 – 5x +2
f(x) =
Level 2 APPLIED AND THEORY PROBLEMS
х — 2
34. The tides for Hell Gate, Wards Island, New York, on
September 6,2004, are given by the following table:
and
g(x) = x² – x – 2
-
a. (f + g)(-1)
Time
Height (ft)
Tide
b. (f – g)(2)
12:08 A.M.
2.1
Low
c. (fg)(9)
5:19 A.M.
High
5.8
d. (f/g)(99)
12:00 noon
2.1
Low
e. (f o g)(0)
22. Let f(t) be a periodic function with period p = 2n
and amplitude a = 1. Show that the given functions
are periodic and find their period and amplitude.
Let
T(t) = Acos[B (t + C)]+ Dfeet
denote the height of the tide t hours after midnight.
Find values of A, B, C, and D such that the function
a. f(t – 1) + 2
fits the Hell Gate tide data.
b. 5 f(t)
35. The tides for Bodega Bay, California, on March 10,
2005, are given by the following table:
с. f
IT
d. 25 (1 +5) – 3
IT
Time
Height (ft)
Tide
23. Let f(t) be a periodic function with period p = T
4:36 A.M.
1.1
Low
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