Composition of Functions - Scarsdale Public Schools

432

Name___________________________________

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Composition of Functions

Perform the indicated operation.

1) g(n) = -4n - 4 h(n) = n2 + 5 + n Find (g h)(n)

2) h(n) = n2 - 5 g(n) = -4n + 5 Find (h g)(n)

3) g(a) = 3a - 4 Find (g g)(a)

4) h(n) = 2n + 2 g(n) = 2n Find (h g)(n)

5) f (n) = -4n + 1 g(n) = -2n - 5 Find ( f g)(n)

6) h(a) = 2a + 3 g(a) = a2 + 2a Find (h g)(1)

7) f (t) = 2t + 5 g(t) = t3 - 2t2 Find ( f g)(0)

8) g(a) = -4a - 3 f (a) = a2 - 5 Find (g f )(1)

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Worksheet by Kuta Software LLC

9) g(a) = 4a f (a) = 4a - 4 Find (g f )(3)

10) g(x) = -3x - 4 h(x) = 2x + 1 Find (g h)(-5)

11) f (a) = 4a - 1 g(a) = -3a2 + 5 Find ( f g)(4)

12) g(n) = 3n2 + 4n h(n) = 2n - 5 Find (g h)(4)

13) g(n) = n2 - 3n h(n) = 4n + 4 Find (g h)(0)

14) g(n) = 4n h(n) = 4n + 4 Find (g h)(-7)

15) f (t) = t + 3 Find ( f f )(5)

Worksheet by Kuta Software LLC

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432

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Composition of Functions

Perform the indicated operation.

1) g(n) = -4n - 4 h(n) = n2 + 5 + n Find (g h)(n)

-4n2 - 4n - 24

2) h(n) = n2 - 5 g(n) = -4n + 5 Find (h g)(n)

16n2 - 40n + 20

3) g(a) = 3a - 4 Find (g g)(a)

9a - 16

4) h(n) = 2n + 2 g(n) = 2n Find (h g)(n)

4n + 2

5) f (n) = -4n + 1 g(n) = -2n - 5 Find ( f g)(n)

8n + 21

6) h(a) = 2a + 3 g(a) = a2 + 2a Find (h g)(1)

9

7) f (t) = 2t + 5 g(t) = t3 - 2t2 Find ( f g)(0)

5

8) g(a) = -4a - 3 f (a) = a2 - 5 Find (g f )(1)

13

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Worksheet by Kuta Software LLC

9) g(a) = 4a f (a) = 4a - 4 Find (g f )(3)

32

10) g(x) = -3x - 4 h(x) = 2x + 1 Find (g h)(-5)

23

11) f (a) = 4a - 1 g(a) = -3a2 + 5 Find ( f g)(4)

-173

12) g(n) = 3n2 + 4n h(n) = 2n - 5 Find (g h)(4)

39

13) g(n) = n2 - 3n h(n) = 4n + 4 Find (g h)(0)

4

14) g(n) = 4n h(n) = 4n + 4 Find (g h)(-7)

-96

15) f (t) = t + 3 Find ( f f )(5)

11

Worksheet by Kuta Software LLC

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