Page 1
1.
Evaluate
( )
(0)fg+
where
( ) –8 + 2f x x=
and
2
( ) – 9g x x=
2.
Evaluate
( )
(–1)fg−
where
2
( ) 6 + 2f x x=
and
3.
Evaluate
( )
(3)fg
where
( ) –5 + 7f x x=
and
2
( ) +3g x x=
4.
Evaluate
(4)
f
g



where
2
( ) –2 + 7f x x=
and
( ) 3 – 6g x x=
.
Write your answer as a reduced fraction.
5.
Find
( ) ( )f x g x+
where
( ) –10 +10f x x=
and
2
( ) 4 – 5g x x=
6.
Find
( ) ( )f x g x−
where
2
( ) –6 +1f x x=
and
( ) 2+8g x x=
7.
Find
( ) ( )f x g x
where
( ) 8+6f x x=
and
2
( ) –5 –10g x x=
8.
Find
()
fx
g



where
2
( ) –6 – 3f x x=
and
( ) –8 +10g x x=
9.
Evaluate
( )
(–7)fg+
where
8
() 4 –1
fx x
=
and
.
Give an exact answer in the form of a reduced fraction.
10.
Evaluate
( )
(–4)fg+
where
8
() +2
fx x
=
and
.
Give a decimal answer. Round your answer to 2 decimal places, if necessary.
Page 2
11.
Evaluate
( )
(–3)fg−
where
2
() 5 +5
fx x
=
and
.
Give an exact answer in the form of a reduced fraction.
12.
Evaluate
( )
(–1)fg−
where
8
() 5 – 6
fx x
=
and
( ) 4 – 4g x x=
.
Give a decimal answer. Round your answer to 2 decimal places, if necessary.
13.
Evaluate
( )
(2)fg
where
6
() 5 +1
fx x
=
and
( ) 7+g x x=
.
Give an exact answer in the form of a reduced fraction.
14.
Evaluate
( )
(–1)fg
where
5
() 4 –1
fx x
=
and
( ) –5 – 5g x x=
.
Give a decimal answer. Round your answer to 2 decimal places, if necessary.
15.
Evaluate
(–6)
f
g



where
9
() 4 –1
fx x
=
and
( ) 1– 3g x x=
.
Give an exact answer in the form of a reduced fraction.
16.
Evaluate
(0)
f
g



where
19
() 2 +3
fx x
=
and
( ) 1+2g x x=
.
Give a decimal answer. Round your answer to 2 decimal places, if necessary.
17.
Use the table to evaluate the function
( + )(–2)fg
:
x
–7
–6
–5
–4
–3
f(x)
12
10
8
6
4
g(x)
–33
–28
–23
–18
–13
18.
Use the table to evaluate the function
( )(–5)fg
:
x
–3
0
3
6
9
f(x)
7
–2
–11
–20
–29
g(x)
–4
5
14
23
32
Page 3
19.
Use the table to evaluate the function
(–3)
f
g



: (Round the answer to 2 decimal
places if necessary.)
x
–5
–2
1
4
7
f(x)
–6
0
6
12
18
g(x)
–28
–13
2
17
32
20.
If f(x) = 4x and g(x) = 2x, evaluate
( – )(2)fg
.
21.
Use the table to create a table for the function
()
fx
g



: (Round the answer to 2
decimal places if necessary.)
x
–5
–2
1
4
7
f(x)
–8
–2
4
10
16
g(x)
–14
–5
4
13
22
22.
Use the table to create the table for the function
( + )( )f g x
:
x
–5
–2
1
4
7
f(x)
20
11
2
–7
–16
g(x)
–23
–8
7
22
37
Page 4
23.
Given the functions shown in this graph, select the graph that shows
( + )( )f g x
.
A)
B)
C)
_
Page 5
D)
Page 6
Answer Key