Question

In Problems 13–22, for the given functions f and g, find:
(a) (f ∘ g) (4) (b) (g ∘ f) (2) (c) (f ∘ f) (1) (d) (g ∘ g) (0)

13. f(x) = 2x; g(x) = 3x2 + 1
14. f(x) = 3x + 2; g(x) = 2x – 1
1
15. f(x) = 4x – 3; g(x) = 3
16. f(x) = 2x²; 8(x) = 1 – 3x²
17. f(x) = Vx; g(x) = 2x
18. f(x) = Vx + 1; g(x) = 3x
1
3
19. f(x) = |x|; g(x)
20. f(x) = |x – 2|: g(x)
=
x2 + 1
x + 2
3
2
21. f(x) = 8(x) = Vx
22. f(x) = x/2; g(x)
x + 1
x + 1
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Transcribed Image Text

13. f(x) = 2x; g(x) = 3x2 + 1 14. f(x) = 3x + 2; g(x) = 2x – 1 1 15. f(x) = 4x – 3; g(x) = 3 16. f(x) = 2x²; 8(x) = 1 – 3x² 17. f(x) = Vx; g(x) = 2x 18. f(x) = Vx + 1; g(x) = 3x 1 3 19. f(x) = |x|; g(x) 20. f(x) = |x – 2|: g(x) = x2 + 1 x + 2 3 2 21. f(x) = 8(x) = Vx 22. f(x) = x/2; g(x) x + 1 x + 1