Set Theory and Function Properties (Jee Mains) | ExamDuo
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Functions
Medium
Set Theory and Function Properties
Let
f
(
x
)
=
x
2
,
x
∈
R
.
For any
A
⊆
R
,
define
g
(
A
)
=
{
x
⊆
R
:
f
(
x
)
⊆
A
}
.
If S = [0,4], then which one of the following statements is not true?
Ask about this question
SELECT ONE OPTION
A
f
(
g
(
S
)
)
≠
f
(
S
)
B
f
(
g
(
S
)
)
=
S
C
g
(
f
(
S
)
)
=
g
(
S
)
D
g
(
f
(
S
)
)
≠
S
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