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Question 7 - Week 6 Practice | Prasnya
Q7
00:00
1 Dec 2024
Q7.
Consider the function
f
(
x
)
=
∣
log
(
x
+
1
)
∣
f(x)=|\log(x+1)|
f
(
x
)
=
∣
lo
g
(
x
+
1
)
∣
. Choose the correct option(s) from the following.
A
The domain of
f
f
f
is
(
−
1
,
∞
)
(-1,\infty)
(
−
1
,
∞
)
.
B
The domain of
f
f
f
is
(
−
∞
,
1
)
(-\infty,1)
(
−
∞
,
1
)
.
C
f
(
x
)
f(x)
f
(
x
)
is not a one-one function when
x
∈
(
−
1
,
1
)
x\in(-1,1)
x
∈
(
−
1
,
1
)
.
D
f
(
x
)
f(x)
f
(
x
)
is a one-one function when
x
∈
(
−
1
,
1
)
x\in(-1,1)
x
∈
(
−
1
,
1
)
.
Save
Check
Details
Q7
00:00
1 Dec 2024
Q7.
Consider the function
f
(
x
)
=
∣
log
(
x
+
1
)
∣
f(x)=|\log(x+1)|
f
(
x
)
=
∣
lo
g
(
x
+
1
)
∣
. Choose the correct option(s) from the following.
A
The domain of
f
f
f
is
(
−
1
,
∞
)
(-1,\infty)
(
−
1
,
∞
)
.
B
The domain of
f
f
f
is
(
−
∞
,
1
)
(-\infty,1)
(
−
∞
,
1
)
.
C
f
(
x
)
f(x)
f
(
x
)
is not a one-one function when
x
∈
(
−
1
,
1
)
x\in(-1,1)
x
∈
(
−
1
,
1
)
.
D
f
(
x
)
f(x)
f
(
x
)
is a one-one function when
x
∈
(
−
1
,
1
)
x\in(-1,1)
x
∈
(
−
1
,
1
)
.
Save
Check
Details
