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Problem
Problem
Passage - 4 (Question 68 to 69) Let
f
f
f
be an even function satisfying
f
(
x
−
2
)
=
f
(
x
+
[
6
x
2
+
13
x
2
+
2
]
)
∀
x
∈
R
f(x-2) = f\left(x + \left[\frac{6x^2+13}{x^2+2}\right]\right) \forall x \in R
f
(
x
−
2
)
=
f
(
x
+
[
x
2
+
2
6
x
2
+
13
]
)
∀
x
∈
R
and
f
(
x
)
=
{
3
x
,
0
≤
x
<
1
4
−
x
,
1
≤
x
≤
4
f(x) = \begin{cases} 3x, & 0 \leq x < 1 \\ 4-x, & 1 \leq x \leq 4 \end{cases}
f
(
x
)
=
{
3
x
,
4
−
x
,
0
≤
x
<
1
1
≤
x
≤
4
[Note :
[
y
]
[y]
[
y
]
denotes greatest integer function of
y
y
y
] The value of
f
(
−
89
)
−
f
(
67
)
+
f
(
46
)
f(-89) - f(67) + f(46)
f
(
−
89
)
−
f
(
67
)
+
f
(
46
)
is equal to (a) 4 (b) 5 (c) 6 (d) 7
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