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Problem
Problem
If
f
f
f
and
g
g
g
are two distinct linear functions defined on
R
R
R
such that they map
[
−
1
,
1
]
[-1, 1]
[
−
1
,
1
]
onto
[
0
,
2
]
[0, 2]
[
0
,
2
]
and
h
:
R
−
{
−
1
,
0
,
1
}
→
R
h: R - \{-1, 0, 1\} \rightarrow R
h
:
R
−
{
−
1
,
0
,
1
}
→
R
defined by
h
(
x
)
=
f
(
x
)
g
(
x
)
h(x) = \frac{f(x)}{g(x)}
h
(
x
)
=
g
(
x
)
f
(
x
)
, then
∣
h
(
h
(
x
)
)
+
h
(
h
(
1
/
x
)
)
∣
>
n
|h(h(x)) + h(h(1/x))| > n
∣
h
(
h
(
x
))
+
h
(
h
(
1/
x
))
∣
>
n
. Then maximum integral value of
n
n
n
is:
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