1.
Given
f
(
x
) = 3
x
+ 2
x
- 2 and
g
(
x
) = 4
x
+ 1, find
A.
B.
3
x
2
+ 6
x
- 1
C.
3
x
2
- 2
x
- 3
D.
Hint
2.
The revenue for the sale of
x
objects is
r
(
x
) = 8
x
. The cost of manufacturing
x
objects is
c
(
x
) = 0.5
x
+ 300. Write the profit function.
A.
8.5
x
- 300
B.
7.5
x
+ 300
C.
8.5
x
+ 300
D.
7.5
x
- 300
Hint
3.
Find
(
x
) if
f
(
x
) = 3
x
2
+ 1 and
g
(
x
) = 2
x
+ 3.
A.
12
x
2
- 36
x
+ 28
B.
6
x
2
- 5
C.
12
x
2
+ 36
x
+ 28
D.
6
x
2
+ 5
Hint
4.
Given
f(x)
=
x
-5 and
g(x)
=
x
2
+ 3,find (
f · g
)(
x
).
A.
4
x
3
–2
x
B.
x
2
–2
x
-15
C.
x
3
–5
x
2
+3
x
-15
D.
x
3
+5
x
2
+3
x
-15
Hint
5.
Find the first three iterates of the function
g(x)
=
x
2
+
x
for an initial value of
x
0
= 1.
A.
= 0
= 2
= 4
B.
= 2
= 6
= 42
C.
= 2
= 6
= 36
D.
= 2
= 6
= 12
Hint