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Mathematics
Mathematics
Problem
Show that the function
f
:
(
0
,
∞
)
→
R
f:(0,\infty)\to \mathbb R
f
:
(
0
,
∞
)
→
R
defined by
f
(
x
)
=
ln
x
f(x)=\ln x
f
(
x
)
=
ln
x
is bijective. Hence, find the expression for
f
−
1
(
y
)
f^{-1}(y)
f
−
1
(
y
)
.
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