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MTH102 (Composite Functions Practice Questions)
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Composite Functions
PAST QUESTION
The functions
f
f
f
,
g
g
g
and
h
h
h
on the set of real numbers are defined by
f
(
x
)
=
x
2
+
1
f(x)=x^2+1
f
(
x
)
=
x
2
+
1
,
g
(
x
)
=
2
x
−
3
g(x)=2x-3
g
(
x
)
=
2
x
−
3
and
h
(
x
)
=
4
x
+
5
h(x)=4x+5
h
(
x
)
=
4
x
+
5
. Find
f
[
g
(
x
)
]
f[g(x)]
f
[
g
(
x
)]
.
A
4
x
2
−
12
x
+
10
4x^2 - 12x + 10
4
x
2
−
12
x
+
10
B
2
x
2
−
1
2x^2 - 1
2
x
2
−
1
C
4
x
2
−
9
+
1
4x^2 - 9 + 1
4
x
2
−
9
+
1
D
4
x
2
+
12
x
+
10
4x^2 + 12x + 10
4
x
2
+
12
x
+
10
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