Increasing Function Composition (Jee Mains) | ExamDuo
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Application of Derivates
Medium
Increasing Function Composition
Let
f
(
x
)
=
e
x
−
x
and
g
(
x
)
=
x
2
−
x
,
∀
x
∈
R
.
Then the set of all
x
∈
R
, where the function h(x)=(fog)(x) is increasing, is:
SELECT ONE OPTION
A
[
−
1
2
,
0
]
∪
[
1
,
∞
)
B
[
−
1
,
−
1
2
]
∪
[
1
2
,
∞
)
C
[
0
,
∞
)
D
[
0
,
1
2
]
∪
[
1
,
∞
)
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