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Mathematics
Problem
Let
h
(
x
)
=
ln
(
2
x
+
1
)
h(x)=\ln(2x+1)
h
(
x
)
=
ln
(
2
x
+
1
)
. (i) Find functions
f
f
f
and
g
g
g
with the inner function
f
f
f
linear so that
h
(
x
)
=
(
g
∘
f
)
(
x
)
h(x)=(g\circ f)(x)
h
(
x
)
=
(
g
∘
f
)
(
x
)
. (ii) State the domain of
g
∘
f
g\circ f
g
∘
f
and verify that it is the same as the domain of
h
h
h
.
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