1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Definition of Function
fx is shown i...
Question
f
(
x
)
is shown in the graph . Find the value of
x
for which
y
=
f
(
x
−
4
)
is undefined.
A
−
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
D
5
y
=
f
(
X
)
, where
X
=
x
−
4
Here the value of
y
is undefined at
y
=
f
(
1
)
as there is a discontinuous point on the graph.
∴
X
=
1
⇒
x
−
4
=
1
⇒
x
=
5
So, the value of
x
is
5
at which
y
is undefined.
Suggest Corrections
0
Similar questions
Q.
Which of the following options is/are true for the function
f
(
x
)
=
|
x
−
3
|
+
|
x
−
4
|
Q.
The graph of
y
=
f
(
s
)
is shown above. If
−
3
≤
x
≤
6
, for how many values of
x
does
f
(
x
)
=
2
?
Q.
Find the value of
k
for which
f
(
x
)
=
k
x
+
5
,
w
h
e
n
x
≤
2
and
f
(
x
)
=
x
−
1
,
w
h
e
n
x
>
2
is continuous at
x
=
2
.
Q.
Find the value of
k
for which the system of equations
k
x
+
y
=
2
,
x
+
k
y
=
1
is undefined.
Q.
x
f
(
x
)
0
3
2
1
4
0
5
−
2
The function
f
is defined by a polynomial. Some values of
x
and
f
(
x
)
are shown in the table above. Which of the following must be a factor of
f
(
x
)
?
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
Animal Tissues
MATHEMATICS
Watch in App
Explore more
Definition of Function
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