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MTH102 (Composite Functions Practice Questions)
Question 8 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
[
g
(
f
[
x
]
)
]
h[g(f[x])]
h
[
g
(
f
[
x
])]
.
A
2
x
2
+
1
2x^2 + 1
2
x
2
+
1
B
8
x
2
−
7
8x^2 - 7
8
x
2
−
7
C
8
x
2
+
15
8x^2 + 15
8
x
2
+
15
D
8
x
2
+
1
8x^2 + 1
8
x
2
+
1
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