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Problem
Problem
If
f
(
x
)
=
x
1
+
x
f(x) = \frac{x}{1+x}
f
(
x
)
=
1
+
x
x
, then
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
is equal to (a)
(
1
+
x
)
x
\frac{(1+x)}{x}
x
(
1
+
x
)
(b)
1
(
1
+
x
)
\frac{1}{(1+x)}
(
1
+
x
)
1
(c)
(
1
+
x
)
(
1
−
x
)
\frac{(1+x)}{(1-x)}
(
1
−
x
)
(
1
+
x
)
(d)
x
(
1
−
x
)
\frac{x}{(1-x)}
(
1
−
x
)
x
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