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Worksheet by Kuta Software LLC
432
Composition of Functions
Name___________________________________
©r A2T0N1Z8Y OKpuwtaaw tSjobfPtdw`aBrYet _LlLjCx.I ` iAIlolE GrFifgFhztgsN irSeHsHeGrfv\eCdZ.
-1-
Perform the indicated operation.
1) g
(
n
)
= -4n - 4
h
(
n
)
= n
2
+ 5 + n
Find
(
g h
)
(
n
)
2) h
(
n
)
= n
2
- 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
)
= a
2
+ 2a
Find
(
h g
)
(
1
)
7) f
(
t
)
= 2t + 5
g
(
t
)
= t
3
- 2t
2
Find
(
f g
)
(
0
)
8) g
(
a
)
= -4a - 3
f
(
a
)
= a
2
- 5
Find
(
g f
)
(
1
)
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Worksheet by Kuta Software LLC
-2-
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
)
= -3a
2
+ 5
Find
(
f g
)
(
4
)
12) g
(
n
)
= 3n
2
+ 4n
h
(
n
)
= 2n - 5
Find
(
g h
)
(
4
)
13) g
(
n
)
= n
2
- 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
)
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Worksheet by Kuta Software LLC
432
Composition of Functions
Name___________________________________
©z Z2D0V1[8\ \KcultOaA OSno\fLtswMavrYev rLTLYC^.R X iARlclY KrKiSg\hDtYsJ hrfeVsueMrbvIemdr.
-1-
Perform the indicated operation.
1) g
(
n
)
= -4n - 4
h
(
n
)
= n
2
+ 5 + n
Find
(
g h
)
(
n
)
-4n
2
- 4n - 24
2) h
(
n
)
= n
2
- 5
g
(
n
)
= -4n + 5
Find
(
h g
)
(
n
)
16n
2
- 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
)
= a
2
+ 2a
Find
(
h g
)
(
1
)
9
7) f
(
t
)
= 2t + 5
g
(
t
)
= t
3
- 2t
2
Find
(
f g
)
(
0
)
5
8) g
(
a
)
= -4a - 3
f
(
a
)
= a
2
- 5
Find
(
g f
)
(
1
)
13
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Worksheet by Kuta Software LLC
-2-
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
)
= -3a
2
+ 5
Find
(
f g
)
(
4
)
-173
12) g
(
n
)
= 3n
2
+ 4n
h
(
n
)
= 2n - 5
Find
(
g h
)
(
4
)
39
13) g
(
n
)
= n
2
- 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
