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Mathematics
Mathematics
Problem
Define
f
:
R
→
R
f:\mathbb R\to\mathbb R
f
:
R
→
R
by
f
(
x
)
=
ln
(
x
2
+
1
)
f(x)=\ln\bigl(x^{2}+1\bigr)
f
(
x
)
=
ln
(
x
2
+
1
)
and
g
:
(
0
,
∞
)
→
R
g:(0,\infty)\to\mathbb R
g
:
(
0
,
∞
)
→
R
by
g
(
x
)
=
x
g(x)=\sqrt{x}
g
(
x
)
=
x
. Determine
g
∘
f
(
x
)
g\circ f(x)
g
∘
f
(
x
)
and state the domain of this composite function.
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