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Question 27 - Week 5 Practice | Prasnya
Q27
00:00
2 Apr 2023
Q27.
Which of the following options is/are true?
@passage
A
Domain of the function
f
(
x
)
f(x)
f
(
x
)
is the interval
(
0
,
1
)
∪
(
1
,
∞
)
(0,1)\cup(1,\infty)
(
0
,
1
)
∪
(
1
,
∞
)
.
B
h
(
x
)
=
(
2
x
)
4
log
2
x
2
x
h(x)=(\sqrt{2x})^{4\log_{\sqrt{2x}}\sqrt{2x}}
h
(
x
)
=
(
2
x
)
4
l
o
g
2
x
2
x
.
C
h
(
x
)
=
(
2
x
)
4
log
x
2
x
h(x)=(\sqrt{2x})^{4\log_{\sqrt{x}}\sqrt{2x}}
h
(
x
)
=
(
2
x
)
4
l
o
g
x
2
x
.
D
Domain of the function
1
g
(
x
)
\frac{1}{\sqrt{g(x)}}
g
(
x
)
1
is the interval
[
0
,
∞
)
[0,\infty)
[
0
,
∞
)
.
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Details
Q27
00:00
2 Apr 2023
Q27.
Which of the following options is/are true?
@passage
A
Domain of the function
f
(
x
)
f(x)
f
(
x
)
is the interval
(
0
,
1
)
∪
(
1
,
∞
)
(0,1)\cup(1,\infty)
(
0
,
1
)
∪
(
1
,
∞
)
.
B
h
(
x
)
=
(
2
x
)
4
log
2
x
2
x
h(x)=(\sqrt{2x})^{4\log_{\sqrt{2x}}\sqrt{2x}}
h
(
x
)
=
(
2
x
)
4
l
o
g
2
x
2
x
.
C
h
(
x
)
=
(
2
x
)
4
log
x
2
x
h(x)=(\sqrt{2x})^{4\log_{\sqrt{x}}\sqrt{2x}}
h
(
x
)
=
(
2
x
)
4
l
o
g
x
2
x
.
D
Domain of the function
1
g
(
x
)
\frac{1}{\sqrt{g(x)}}
g
(
x
)
1
is the interval
[
0
,
∞
)
[0,\infty)
[
0
,
∞
)
.
Save
Read
Check
Details