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Byju's Answer
Standard XII
Mathematics
Definition of Functions
What is the r...
Question
What is the range of
f
(
x
)
=
tan
(
√
π
2
4
−
x
2
)
?
A
(
−
∞
,
∞
)
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B
(
0
,
∞
)
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C
[
0
,
∞
)
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D
(
−
∞
,
0
)
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Solution
The correct option is
C
[
0
,
∞
)
f
(
x
)
=
tan
(
√
π
2
4
−
x
2
)
π
2
4
−
x
2
>
0
⇒
x
2
≤
π
2
4
⇒
−
π
2
≤
x
≤
π
2
When
x
=
±
π
2
⇒
f
(
x
)
=
tan
0
=
0
When
x
=
0
⇒
f
(
x
)
=
tan
π
2
=
∞
Therefore, the range is
[
0
,
∞
)
Suggest Corrections
0
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