23. f(x) = 2x + 3; g(x) = 3x 24. f(x) = -x; g(x) = 2x – 4 25. f(x) = 3x + 1; g(x) = x² 26. f(x) = x + 1; g(x) = x² + 4 27. f(x) = x²; g (x) = x² + 4 28. f(x) = x² + 1; g(x) = 2x² + 3 3 2 29. f(x) -i 8(x) = 1 g(x) 30. f(х) * - 1' x + 3' 4 31. f(х) g(x) 32. f(x) 2 g(x) = - - *- 1' * + 3' 33. f(x) = Vx; g(x) = 2x + 3 34. f(x) = Vx – 2; g(x) = 1– 2x 35. f(x) = x² + 1; g(x) = Vx - 1 36. f(x) = x² + 4; g(x) = Vx – 2 X - 5 2х- 1 x + 4 37. f(x) = g(x) = * + 2 *: 8(x) = 38. f(x) ; g(x) x + 1 X - 3 X - 2 2x – 5

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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In Problems 23–38, for the given functions f and g, find:
(a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘ g
State the domain of each composite function.

23. f(x) = 2x + 3; g(x) = 3x
24. f(x) = -x; g(x) = 2x – 4
25. f(x) = 3x + 1; g(x) = x²
26. f(x) = x + 1; g(x) = x² + 4
27. f(x) = x²; g (x) = x² + 4
28. f(x) = x² + 1; g(x) = 2x² + 3
3
2
29. f(x)
-i 8(x) =
1
g(x)
30. f(х)
* - 1'
x + 3'
4
31. f(х)
g(x)
32. f(x)
2
g(x)
= - -
*- 1'
* + 3'
33. f(x) = Vx; g(x) = 2x + 3
34. f(x) = Vx – 2; g(x) = 1– 2x
35. f(x) = x² + 1; g(x) = Vx - 1
36. f(x) = x² + 4; g(x) = Vx – 2
X - 5
2х- 1
x + 4
37. f(x) = g(x) = * + 2
*: 8(x) =
38. f(x)
; g(x)
x + 1
X - 3
X - 2
2x – 5
Transcribed Image Text:23. f(x) = 2x + 3; g(x) = 3x 24. f(x) = -x; g(x) = 2x – 4 25. f(x) = 3x + 1; g(x) = x² 26. f(x) = x + 1; g(x) = x² + 4 27. f(x) = x²; g (x) = x² + 4 28. f(x) = x² + 1; g(x) = 2x² + 3 3 2 29. f(x) -i 8(x) = 1 g(x) 30. f(х) * - 1' x + 3' 4 31. f(х) g(x) 32. f(x) 2 g(x) = - - *- 1' * + 3' 33. f(x) = Vx; g(x) = 2x + 3 34. f(x) = Vx – 2; g(x) = 1– 2x 35. f(x) = x² + 1; g(x) = Vx - 1 36. f(x) = x² + 4; g(x) = Vx – 2 X - 5 2х- 1 x + 4 37. f(x) = g(x) = * + 2 *: 8(x) = 38. f(x) ; g(x) x + 1 X - 3 X - 2 2x – 5
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