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MTH102 (Composite Functions Practice Questions)
Question 4 of 30
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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
h
[
f
(
x
)
]
h[f(x)]
h
[
f
(
x
)]
.
A
4
x
2
+
9
4x^2 + 9
4
x
2
+
9
B
4
x
2
+
4
x
+
9
4x^2 + 4x + 9
4
x
2
+
4
x
+
9
C
4
x
2
+
6
4x^2 + 6
4
x
2
+
6
D
16
x
2
+
40
x
+
26
16x^2 + 40x + 26
16
x
2
+
40
x
+
26
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