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JEE Main Math Class 11 Relations and Functions Part 2 Questions
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© examsnet.com
Question : 27
Total: 95
If the domain of the function
f
(
x
)
=
cos
−
1
(
2
−
|
x
|
4
)
+
(
log
e
(
3
−
x
)
)
−
1
is
[
−
α
,
β
)
−
{
y
}
, then
α
+
β
+
γ
is equal to :
[30-Jan-2024 Shift 1]
12
9
11
8
Validate
Solution:
👈: Video Solution
−
1
≤
|
2
−
|
x
|
4
|
≤
1
⇒
|
2
−
|
x
|
4
|
≤
1
−
4
≤
2
−
|
x
|
≤
4
−
6
≤
−
|
x
|
≤
2
−
2
≤
|
x
|
≤
6
|
x
|
≤
6
⇒
x
∈
[
−
6
,
6
]
.......(1)
Now,
3
−
x
≠
1
And
x
≠
2
.........(2)
and
3
−
x
>
0
x
<
3
..........(3)
From
(
1
)
,
(
2
)
and
(
3
)
⇒
x
∈
[
−
6
,
3
)
−
{
2
}
α
=
6
β
=
3
γ
=
2
α
+
β
+
γ
=
11
© examsnet.com
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