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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
3
f
(
x
3
)
+
f
(
3
−
x
)
g(x) = 3f(\frac{x}{3}) + f(3-x)
g
(
x
)
=
3
f
(
3
x
)
+
f
(
3
−
x
)
and
f
′
′
(
x
)
>
0
f''(x) > 0
f
′′
(
x
)
>
0
for all
x
∈
(
0
,
3
)
x \in (0, 3)
x
∈
(
0
,
3
)
. If
g
g
g
is decreasing in
(
0
,
α
)
(0, \alpha)
(
0
,
α
)
and increasing in
(
α
,
3
)
(\alpha, 3)
(
α
,
3
)
, then
8
α
8\alpha
8
α
is A 24 B 0 C 18 D 20
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