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Problem
Problem
The set of all points where
f
(
x
)
f(x)
f
(
x
)
is increasing is
(
a
,
b
)
∪
(
c
,
∞
)
(a, b) \cup (c, \infty)
(
a
,
b
)
∪
(
c
,
∞
)
, then find
[
a
+
b
+
c
]
[a + b + c]
[
a
+
b
+
c
]
{where
[
⋅
]
[\cdot]
[
⋅
]
denotes GIF}. Given that
f
(
x
)
=
2
f
(
x
2
2
)
+
f
(
6
−
x
2
)
,
∀
x
∈
R
f(x) = 2f\left(\frac{x^2}{2}\right) + f(6 - x^2), \forall x \in R
f
(
x
)
=
2
f
(
2
x
2
)
+
f
(
6
−
x
2
)
,
∀
x
∈
R
and
f
′
′
(
x
)
>
0
,
∀
x
∈
R
f''(x) > 0, \forall x \in R
f
′′
(
x
)
>
0
,
∀
x
∈
R
.
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