1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Domain
Domain of def...
Question
Domain of definition of the function
f
(
x
)
=
3
4
−
x
2
+
l
o
g
10
(
x
3
−
x
)
A
(
1
,
2
)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(
−
1
,
0
)
∪
(
1
,
2
)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(
1
,
2
)
∪
(
2
,
∞
)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(
−
1
,
0
)
∪
(
1
,
2
)
∪
(
2
,
∞
)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
D
(
−
1
,
0
)
∪
(
1
,
2
)
∪
(
2
,
∞
)
f
(
x
)
=
3
4
−
x
2
+
l
o
g
10
(
x
3
−
x
)
.
S
o
,
4
−
x
2
≠
0
⇒
x
≠
±
√
4
a
n
d
x
3
−
x
>
0
⇒
x
(
x
2
−
1
)
>
0
⇒
−
1
<
x
<
0
a
n
d
x
>
1
∴
D
=
(
−
1
,
0
)
∪
(
1
,
∞
)
−
{
√
4
}
i
.
e
.
,
D
=
(
−
1
,
0
)
∪
(
1
,
2
)
∪
(
2
,
∞
)
.
Suggest Corrections
0
Similar questions
Q.
Domain of definition of the function
f
(
x
)
=
3
4
−
x
2
+
l
o
g
10
(
x
3
−
x
)
Q.
Domain of definition of the function
f
(
x
)
=
3
4
−
x
2
+
l
o
g
10
(
x
3
−
x
)
Q.
T
h
e
d
o
m
a
i
n
o
f
f
(
x
)
=
3
4
−
x
2
+
l
o
g
10
(
x
3
−
x
)
i
s
Q.
What is the domain of
f
(
x
)
=
3
4
−
x
2
+
log
10
(
x
3
−
x
)
?
Q.
The domain of the definition of the function
f
(
x
)
=
1
4
−
x
2
+
log
10
(
x
3
−
x
)
is :
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Adaptive Q9
MATHEMATICS
Watch in App
Explore more
Domain
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app