Question 23 - Week 5 Practice | Prasnya
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Week 5
Question 23
00:00
Est. 2 min
Marks:
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Consider the functions
f
(
x
)
=
x
+
2
f(x)=\sqrt{x+2}
and
g
(
x
)
=
log
(
1
+
x
2
)
g(x)=\log(1+x^2)
. Which of the following options is/are true?
Multiple correct
Medium Difficulty
03 December 2023
A
(
f
∘
g
)
(
x
)
=
log
(
2
x
+
1
)
(f\circ g)(x)=\log(2x+1)
.
B
The domain of the function
(
g
∘
f
)
(
x
)
(g\circ f)(x)
is
[
−
2
,
−
1
]
[-2,-1]
.
C
(
g
∘
f
)
(
x
)
=
log
(
x
+
3
)
(g\circ f)(x)=\log(x+3)
.
D
The domain of the function
(
g
∘
f
)
(
x
)
(g\circ f)(x)
is
[
−
2
,
∞
)
[-2,\infty)
.
