1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Higher Order Derivatives
Find the doma...
Question
Find the domain of
f
(
x
)
=
(
3
x
−
1
)
P
(
20
−
4
x
)
Open in App
Solution
f
(
x
)
=
(
3
x
−
1
)
P
(
20
−
4
x
)
We know that, in
n
P
r
n
≥
r
and
n
≥
0
and
r
≥
0
∴
3
x
−
1
≥
20
−
4
x
⇒
7
x
≥
21
⇒
x
≥
3
......
(
1
)
Also,
3
x
−
1
≥
0
⇒
x
≥
1
3
......
(
2
)
And
20
−
4
x
≥
0
⇒
x
≤
5
.......
(
3
)
Which is possible if and only if
x
is an integer taking above in account
we find
x
should be an integer.Thus domain of
f
(
x
)
=
{
3
,
4
,
5
}
Suggest Corrections
0
Similar questions
Q.
If
f
(
x
)
=
x
2
−
3
x
+
1
x
2
+
4
x
+
3
,
then domain of
f
(
x
)
is
Q.
Find the domain of
f
(
x
)
=
4
x
+
3
Q.
Find the domain of the function:
f
(
x
)
=
1
√
x
2
−
4
x
.
Q.
The domain of the finction
f
(
x
)
=
1
|
3
x
−
27
|
is
R
−
{
a
}
. Find
a
.
Q.
Find the domain of $
f
(
x
)
=\sqrt (
x
2
+
4
x
−
2
x
2
−
3)$
f(x)=x2+4x−2x2−3
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
Higher Order Derivatives
MATHEMATICS
Watch in App
Explore more
Higher Order Derivatives
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