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Mathematics
Problem
Let
f
:
R
→
R
f:\mathbb R\to\mathbb R
f
:
R
→
R
be defined by
f
(
x
)
=
2
x
+
3
f(x)=2x+3
f
(
x
)
=
2
x
+
3
and
g
:
[
1
,
∞
)
→
R
g:[1,\infty)\to\mathbb R
g
:
[
1
,
∞
)
→
R
by
g
(
x
)
=
x
−
1
g(x)=\sqrt{x-1}
g
(
x
)
=
x
−
1
. Find the domain of the composition
g
∘
f
g\circ f
g
∘
f
.
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