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Mathematics
Mathematics
Problem
Find the range of following functions: a.
f
(
x
)
=
ln
(
x
−
1
)
f(x) = \ln(x-1)
f
(
x
)
=
ln
(
x
−
1
)
. b.
f
(
x
)
=
(
1
3
)
2
x
−
1
f(x) = \left(\frac{1}{3}\right)^{2x-1}
f
(
x
)
=
(
3
1
)
2
x
−
1
, where
x
∈
R
x \in \mathbb{R}
x
∈
R
. c.
f
(
x
)
=
x
[
x
]
f(x) = x^{[x]}
f
(
x
)
=
x
[
x
]
, where
1
≤
x
≤
3
1 \leq x \leq 3
1
≤
x
≤
3
, where
[
⋅
]
→
G.I.F.
[\cdot] \rightarrow \text{G.I.F.}
[
⋅
]
→
G.I.F.
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