Question 2 - Week 3 Practice | Prasnya
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Quiz 2
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Mathematics 1
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Week 3
Question 2
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Est. 1 min
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Passage
Based on the above data, answer the given subquestions. Consider two functions
f
(
x
)
=
log
4
(
log
3
x
)
f(x)=\log_4(\log_3 x)
and
g
(
x
)
=
−
x
2
+
4
x
+
77
g(x)=-x^2+4x+77
. Let
h
(
x
)
h(x)
be defined as
h
(
x
)
=
(
f
∘
g
)
(
x
)
h(x)=(f\circ g)(x)
in its domain.
Question
Find the maximum value of
g
(
x
)
g(x)
.
Comprehension
Easy Difficulty
03 December 2023
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