For items 14 and 15 use the following functions

f (x) = 5x+1

g (x) = 3x-4

14. Evaluate f (2), g (2), (f o g) (2), and (g o f) (2).

15. Write the composite functions h (x) = g (f (x)) and k (x) = f (g (x)).

Question

Arden

Mathematics

29 November, 15:42

For items 14 and 15 use the following functions

f (x) = 5x+1

g (x) = 3x-4

14. Evaluate f (2), g (2), (f o g) (2), and (g o f) (2).

15. Write the composite functions h (x) = g (f (x)) and k (x) = f (g (x)).

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Answers (1)

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Stephen Evans · Answer 1

To find f (2), plug in 2 for x. f (2) = 11 To find g (2), plug in 2 for x. g (2) = 2 To find (f o g) (2), plug in 2 for the composite function = 11. To find (g o f) (2) plug in 2 for the composite function = 29. g (f (x)) is when you plug in f (x) into g: 3 (5x+1) - 4 = 15x - 1. f (g (x)) is when you plug in g (x) into f: 5 (3x-4) + 1 = 15x - 19.

For items 14 and 15 use the following functionsf (x) = 5x+1g (x) = 3x-414. Evaluate f (2), g (2), (f o g) (2), and (g o f) (2).15. Write the composite functions h (x) = g (f (x)) and k (x) = f (g (x)).

For items 14 and 15 use the following functions

f (x) = 5x+1

g (x) = 3x-4

14. Evaluate f (2), g (2), (f o g) (2), and (g o f) (2).

15. Write the composite functions h (x) = g (f (x)) and k (x) = f (g (x)).