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Problem
Problem
If
e
f
(
x
)
=
10
+
x
10
−
x
e^{f(x)}=\frac{10+x}{10-x}
e
f
(
x
)
=
10
−
x
10
+
x
,
x
∈
(
−
10
,
10
)
x\in(-10,10)
x
∈
(
−
10
,
10
)
and
f
(
x
)
=
k
f
(
200
x
100
+
x
2
)
,
then
k
=
f(x)=k f\left(\frac{200x}{100+x^2}\right), \text{ then } k =
f
(
x
)
=
k
f
(
100
+
x
2
200
x
)
,
then
k
=
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