Function Composition and Square Root Value (Jee… | ExamDuo
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Arithmetic and Geometric Progression
Hard
Function Composition and Square Root Value
Consider the function
f
:
ℝ
⟶
ℝ
defined by
f
(
x
)
=
2
x
√
1
+
9
x
2
. If the composition of
f
,
⏟
(
f
∘
f
o
o
o
o
10times
)
(
x
)
=
2
10
x
√
1
+
9
α
x
2
, then the value of
√
3
α
+
1
is equal to .........
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