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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
ln
(
a
x
+
1
)
f(x)=\ln(ax+1)
f
(
x
)
=
ln
(
a
x
+
1
)
with
a
>
0
a>0
a
>
0
. Given that
(
f
−
1
)
′
(
0
)
=
1
5
(f^{-1})'(0)=\dfrac{1}{5}
(
f
−
1
)
′
(
0
)
=
5
1
, determine the value of
a
a
a
.
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