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Mathematics
Mathematics
Problem
If
2
f
(
x
)
=
f
(
x
y
)
+
f
(
x
y
)
2f(x) = f(xy) + f\left(\frac{x}{y}\right)
2
f
(
x
)
=
f
(
x
y
)
+
f
(
y
x
)
for all positive values of
x
,
y
x, y
x
,
y
,
f
(
1
)
=
0
f(1) = 0
f
(
1
)
=
0
and
f
′
(
1
)
=
1
f'(1) = 1
f
′
(
1
)
=
1
, then
f
(
e
)
f(e)
f
(
e
)
is .....
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