Question 4 - Week 5 Practice | Prasnya
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Week 5
Question 4
00:00
Est. 2 min
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Let functions
f
(
x
)
=
log
(
x
2
)
f(x)=\log(x^2)
,
g
(
x
)
=
2
log
x
g(x)=2\log x
, and
h
(
x
)
=
(
log
x
)
2
h(x)=(\log x)^2
respectively. Choose the set of correct options.
Single correct
Medium Difficulty
16 March 2025
A
f
(
g
(
x
)
)
f(g(x))
is not an injective function in its domain.
B
The domain of
f
(
x
)
f(x)
and
g
(
x
)
g(x)
are equal.
C
f
(
g
(
x
)
)
f(g(x))
is an injective function in its domain.
D
The range of
h
(
x
)
h(x)
and
g
(
x
)
g(x)
are equal.
