Function Composition
Given the function
f
(
x
)
=
1
5
x
−
5
and the function
g
(
x
)
=
4
x
2
+
7
x
+
8
determine each of the following.
Give your answer as an integer or a simplified fraction.
Evaluate
f
(
g
(
4
)
)
f
(
g
(
4
)
)
=
Evaluate
g
(
f
(
6
)
)
g
(
f
(
6
)
)
=
Evaluate
f
(
g
(
1
2
)
)
f
(
g
(
1
2
)
)
=
Evaluate
f
(
f
(
1
4
)
)
f
(
f
(
1
4
)
)