Answer:
[
f
o
g
]
(
x
)
=
2
x
2
−
1
Explanation:
f
(
x
)
=
2
x
+
5
,
g
(
x
)
=
x
2
−
3
then,
[
f
o
g
]
(
x
)
=
2
(
g
(
x
)
)
+
5
=
2
(
x
2
−
3
)
+
5
[
f
o
g
]
(
x
)
=
2
x
2
−
6
+
5
[
f
o
g
]
(
x
)
=
2
x
2
−
1
Step-by-step explanation:
Answer:
21:18
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is a composite function, f(g(x)). This means, working from the inside function to the outside, we will take the function g and plug it in for x in the f function. g(x) = 2x + 4. We will plug that into f(x) and evaluate f(2x+4):
and I imagine your teacher has you simplify completely. We FOIL and distribute to get
which, by combining like terms, give us
