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Byju's Answer
Standard XII
Mathematics
Definition of Functions
Let D be th...
Question
Let
D
be the domain of the real valued function
f
defined by
f
(
x
)
=
√
25
−
x
2
. Then, write
D
.
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Solution
Given
f
(
x
)
=
√
25
−
x
2
Since
f
(
x
)
is real valued, we nust have
25
−
x
2
≥
0
⇒
x
2
≤
25
⇒
−
5
≤
x
≤
5
∴
The domain
D
=
[
−
5
,
5
]
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