J)(2) )(1) A (n) 13. f(x) = 2x; g(x) = 3x² + 1 15. f(x) 8x? - 3: g(x) = 3 – ÷x? %3D

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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Please help me with 13,19
(U) (g•f)(5) bmol baaanoig
(5, 4)
(c) (f°g) (0) al baim oi 2 (d) (f°g)(2)
Tol noitbalsg "laute
(-1, 3)
(1, 4)
(8, 4)
(3, 1)
(7,3)
(4, 2)
2
(2, 2)
(6, 2)
how Work n (-1, 1)
(5, 1)
noison siizogmo) s to zinenoqr-2a
4
8 x
2
6.
y = f(x)
EXAMPLE
-2
(2, -2)
(1, - 1)
In Problems 13–22, for the given functions f and g, find:
(a) (fog) (4)
(b) (g•f)(2)
(c) (fof) (1) (d) (g•g)(0) ei
ulo2
13. f(x) = 2x; g(x) = 3x² + 1
14. f(x) = 3x + 2; g(x) = 2x² – 1
%3D
15. f(x) = &x² – 3; g(x) = 3 –
16. f(x) = 2x²; g(x) = 1 – 3x²
17. f(x) = Vx; g(x) = 5x
18. f(x) = Vx + 1; g(x) = 3x
1
3
19. f(x) = |x|; g(x)
20. f(x) = |x – 2|; g(x)
%3D
x² + 9
x2 + 2
21. f(x) =
3
8 (x) = V
22. f(x) = x/2; g(x)
x + 1'
x + 1
In Problems 23–38, for the given functions f and g, find:
(c) fof
(a) fog
(b) gof
(d) g°g
State the domain of each composite function.
8)(*)
24. f(x) = -x; g(x) = 2x – 4
23. f(x) = 2x + 3; g(x) = 4x
25. f(x) = 3x – 1; g(x) = x²
26. f(x) = x + 1; g(x) = x² + 4
Transcribed Image Text:(U) (g•f)(5) bmol baaanoig (5, 4) (c) (f°g) (0) al baim oi 2 (d) (f°g)(2) Tol noitbalsg "laute (-1, 3) (1, 4) (8, 4) (3, 1) (7,3) (4, 2) 2 (2, 2) (6, 2) how Work n (-1, 1) (5, 1) noison siizogmo) s to zinenoqr-2a 4 8 x 2 6. y = f(x) EXAMPLE -2 (2, -2) (1, - 1) In Problems 13–22, for the given functions f and g, find: (a) (fog) (4) (b) (g•f)(2) (c) (fof) (1) (d) (g•g)(0) ei ulo2 13. f(x) = 2x; g(x) = 3x² + 1 14. f(x) = 3x + 2; g(x) = 2x² – 1 %3D 15. f(x) = &x² – 3; g(x) = 3 – 16. f(x) = 2x²; g(x) = 1 – 3x² 17. f(x) = Vx; g(x) = 5x 18. f(x) = Vx + 1; g(x) = 3x 1 3 19. f(x) = |x|; g(x) 20. f(x) = |x – 2|; g(x) %3D x² + 9 x2 + 2 21. f(x) = 3 8 (x) = V 22. f(x) = x/2; g(x) x + 1' x + 1 In Problems 23–38, for the given functions f and g, find: (c) fof (a) fog (b) gof (d) g°g State the domain of each composite function. 8)(*) 24. f(x) = -x; g(x) = 2x – 4 23. f(x) = 2x + 3; g(x) = 4x 25. f(x) = 3x – 1; g(x) = x² 26. f(x) = x + 1; g(x) = x² + 4
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