Answer:
b. (f*g)(x)
Step-by-step explanation:
Set up the composite result function.
g
(
f
(
x
)
)
Evaluate
g
(f
(
x
)
)
by substituting in the value of
f into g
.
g
(
2
x
2
+
3
)
=3
(
2
x
2
+
3
)
−
2
Simplify each term.
g
(
2
x
2
+
3
)
=
6
x
2
+9
−
2
Subtract
2 from 9
.
g
(
2
x
2
+
3
)
=
6
x2+
7
