evaluate the functions for the specified values, if possible. f(x) = x² + 10 g(x) = = Vx - 1 %3D 22. (f + g)(10) 23. (f – g)(2) 24. (f- g)(5) 25. (f g)(4) -

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Number 25 please. Intructions are in the second photo. 

In Exercises 1-10, given the functions f and g, find f + g,f - g, f • g, and ?
,and state the domain of each.
O f(x) = 2x? – x
1. fx) = 2x + 1
g(x) = 1-x
2. (x) = 3x + 2
4. f(x) = 3x + 2
g(x) = 2x - 4
g(x) = x2 - 4
5. f(x) =
g(x) = x² - 25
g(x) = x
2r + 3
7. f(x) = Vx
8. f(x) = Vx - 1
9. f(x) = V4 – x
6. f(x) =
x- 4
10. f(x) = VT- 2x
x- 4
g(x) =
g(x) = 2V
g(x) = 2x?
3x + 2
g(x) = Vx + 3
8(3) = -
In Fxercises 11-20, for the given functions ƒ and g, find the composite functions ƒ ° g and g • f, and state their domains.
11.) f(x) = 2x + 1
12. f(x) = x? - 1
13. F(х)
1
2
14. f(x) =
x - 1
15. f(x) = |x|
x - 3
g(x) = x - 3
g(x) = 2 - x
g(x) = x + 2
g(x) = 2 + x
glx) =-1
on of
16. flx) = |x – 1|
17. f(x) = Vx – 1
18. f(x) = V2 – x
19. f(x) = x' + 4
20. f(x) = VF – 1
gla) =
g(x) = x + 5
g(x) = x + 2
g(x) = (x – 4)13
g(x) = x23 + 1
In Exercises 21-38, evaluate the functions for the specified values, if possible.
f(x) = x² + 10
g(x) = Vx – 1
21.)(f+g)(2)
22. (f + g)(10)
23. (f- g)(2)
24. (f- g)(5)
25. (f g)(4)
26. (f-g)(5)
27.
28.
29. f(g(2))
30. f(g(1))
31. g(f(-3))
32. g(f(4))
33. flg(0)
34. g(f(0))
37. (fo g)(4)
38. (go f)(-3)
35. f(g(-3))
In Exercises 39-50, evaluate f(g(1)) and g(f(2)), if possible.
36. g(f(V7))
39. fle) =
g(x) = 2x + 1
1
41. f(x) = VT- t, 8(x) = x² + 2
40. f(x) = x² + 1, g(x)
42. f(x) = V3-x,
2-x
g(x) = x? + 1
44. flx) = 8(x) = |2r - 3|
%3D
43. f(x) =
g(x) = x + 3
45 们)
x-1
Transcribed Image Text:In Exercises 1-10, given the functions f and g, find f + g,f - g, f • g, and ? ,and state the domain of each. O f(x) = 2x? – x 1. fx) = 2x + 1 g(x) = 1-x 2. (x) = 3x + 2 4. f(x) = 3x + 2 g(x) = 2x - 4 g(x) = x2 - 4 5. f(x) = g(x) = x² - 25 g(x) = x 2r + 3 7. f(x) = Vx 8. f(x) = Vx - 1 9. f(x) = V4 – x 6. f(x) = x- 4 10. f(x) = VT- 2x x- 4 g(x) = g(x) = 2V g(x) = 2x? 3x + 2 g(x) = Vx + 3 8(3) = - In Fxercises 11-20, for the given functions ƒ and g, find the composite functions ƒ ° g and g • f, and state their domains. 11.) f(x) = 2x + 1 12. f(x) = x? - 1 13. F(х) 1 2 14. f(x) = x - 1 15. f(x) = |x| x - 3 g(x) = x - 3 g(x) = 2 - x g(x) = x + 2 g(x) = 2 + x glx) =-1 on of 16. flx) = |x – 1| 17. f(x) = Vx – 1 18. f(x) = V2 – x 19. f(x) = x' + 4 20. f(x) = VF – 1 gla) = g(x) = x + 5 g(x) = x + 2 g(x) = (x – 4)13 g(x) = x23 + 1 In Exercises 21-38, evaluate the functions for the specified values, if possible. f(x) = x² + 10 g(x) = Vx – 1 21.)(f+g)(2) 22. (f + g)(10) 23. (f- g)(2) 24. (f- g)(5) 25. (f g)(4) 26. (f-g)(5) 27. 28. 29. f(g(2)) 30. f(g(1)) 31. g(f(-3)) 32. g(f(4)) 33. flg(0) 34. g(f(0)) 37. (fo g)(4) 38. (go f)(-3) 35. f(g(-3)) In Exercises 39-50, evaluate f(g(1)) and g(f(2)), if possible. 36. g(f(V7)) 39. fle) = g(x) = 2x + 1 1 41. f(x) = VT- t, 8(x) = x² + 2 40. f(x) = x² + 1, g(x) 42. f(x) = V3-x, 2-x g(x) = x? + 1 44. flx) = 8(x) = |2r - 3| %3D 43. f(x) = g(x) = x + 3 45 们) x-1
13. y)-
1
13. f(x) =
2.
14. f(x) =
12. f(x) = x² - 1
%3D
%3D
11. f(x) = 2x + 1
X- 1
X- 3
g(x) = 2- x
g(x) = x + 2
g(x) = 2 + x
%3D
g(x) = x - 3
17. f(x) = Vr –
Vx- 1
18. f(x) = V2 - x
19. f(x) = x³ + 4
%3D
8(4) = x + 5
- 4)1/3
8(x)
In Exercises 21-38, evaluate the functions for the specified values, if possible.
f(x) = x² + 10
g(x) = Vx – 1
22. (f + o)(10)
(2)
24. (f – a)(5)
(f•g)(
(10)
28.
(2)
29. f(g(2))
30. f(g(1))
31. g(f(-
27.
33. f(g(0))
34. g(f(0))
35. f(g(-3))
36. g(f(V7))
37. (f °
In Exercises 39-50, evaluate f(g(1)) and g(f(2)), if possible.
1
39. f(x) =
g(x) = 2x + 1
40. f(x) = x² + 1, g(x) =,
41. f
%3D
%3D
2- x
6.
1.
2. f(x) = V3 – x,
g(x) = x² + 1 43. f(x)
g(x) = x + 3
44.
%3D
%3D
%3D
%3D
|x – 1'
1.
g(x) =
flr) = Vr
3
47.
%3D
-
Transcribed Image Text:13. y)- 1 13. f(x) = 2. 14. f(x) = 12. f(x) = x² - 1 %3D %3D 11. f(x) = 2x + 1 X- 1 X- 3 g(x) = 2- x g(x) = x + 2 g(x) = 2 + x %3D g(x) = x - 3 17. f(x) = Vr – Vx- 1 18. f(x) = V2 - x 19. f(x) = x³ + 4 %3D 8(4) = x + 5 - 4)1/3 8(x) In Exercises 21-38, evaluate the functions for the specified values, if possible. f(x) = x² + 10 g(x) = Vx – 1 22. (f + o)(10) (2) 24. (f – a)(5) (f•g)( (10) 28. (2) 29. f(g(2)) 30. f(g(1)) 31. g(f(- 27. 33. f(g(0)) 34. g(f(0)) 35. f(g(-3)) 36. g(f(V7)) 37. (f ° In Exercises 39-50, evaluate f(g(1)) and g(f(2)), if possible. 1 39. f(x) = g(x) = 2x + 1 40. f(x) = x² + 1, g(x) =, 41. f %3D %3D 2- x 6. 1. 2. f(x) = V3 – x, g(x) = x² + 1 43. f(x) g(x) = x + 3 44. %3D %3D %3D %3D |x – 1' 1. g(x) = flr) = Vr 3 47. %3D -
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