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Mathematics
Problem
Let
f
:
[
0
,
∞
)
→
R
f:[0,\infty)\to \mathbb R
f
:
[
0
,
∞
)
→
R
be defined by
f
(
x
)
=
x
2
+
1
f(x)=x^{2}+1
f
(
x
)
=
x
2
+
1
. (i) Find the domain of
f
−
1
f^{-1}
f
−
1
. (ii) Find the range of
f
−
1
f^{-1}
f
−
1
.
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