Question 26 - Week 5 Practice | Prasnya
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Week 5
Question 26
00:00
Est. 4 min
Marks:
+5.00
0.00
Consider the functions
f
(
x
)
=
log
x
2
f(x)=\log x^2
and
g
(
x
)
=
2
x
+
1
g(x)=2x+1
. Which of the following options is/are true?
Multiple correct
Medium Difficulty
06 August 2023
A
The domain of
(
f
∘
g
)
(
x
)
(f\circ g)(x)
is
R
∖
{
−
1
2
}
\mathbb{R}\setminus\{-\frac{1}{2}\}
.
B
(
f
∘
g
)
(
x
)
=
log
(
2
x
+
1
)
(f\circ g)(x)=\log(2x+1)
.
C
The domain of
(
g
∘
f
)
(
x
)
(g\circ f)(x)
is
R
∖
{
−
1
2
}
\mathbb{R}\setminus\{-\frac{1}{2}\}
.
D
(
g
∘
f
)
(
x
)
=
2
log
x
2
+
1
(g\circ f)(x)=2\log x^2+1
.
E
The domain of
(
g
∘
f
)
(
x
)
(g\circ f)(x)
is
R
∖
{
0
}
\mathbb{R}\setminus\{0\}
.
