1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XI
Mathematics
Strictly Increasing Functions
Let fx=√x2+kx...
Question
Let
f
(
x
)
=
√
x
2
+
k
x
+
1
x
2
−
k
is continuous for every
x
∈
R
then set of values of
k
is
Open in App
Solution
x
2
−
k
≠
0
∀
x
∈
R
⇒
k
<
0
.
.
.
(
1
)
x
2
+
k
x
+
1
≥
0
∀
x
∈
R
⇒
k
2
−
4
≤
0
⇒
−
2
≤
k
≤
2
.
.
.
(
2
)
∴
From
(
1
)
and
(
2
)
k
∈
[
−
2
,
0
)
Suggest Corrections
0
Similar questions
Q.
For what value of k is the following function continuous at x = 1?
f
x
=
x
2
-
1
x
-
1
,
x
≠
1
k
,
x
=
1
Q.
Let
f
(
x
)
=
x
2
+
k
x
;
k
is real number. The set of values of
k
for which the equation
f
(
x
)
=
0
and
f
(
f
(
x
)
)
=
0
have same real solution set.
Q.
Let
f
(
x
)
=
⎧
⎪
⎨
⎪
⎩
lim
n
→
∞
e
x
2
−
1
+
[
(
a
+
b
)
x
−
(
a
−
b
)
]
x
2
n
x
2
n
+
1
+
cos
x
−
1
,
x
∈
R
−
{
0
}
k
,
x
=
0
If
f
(
x
)
is continuous for all
x
∈
R
, then the value
|
k
|
is
Q.
Let f(x) =
{
x
3
+
x
2
−
16
x
+
20
(
x
−
2
)
2
,
i
f
x
≠
2
k
,
i
f
x
=
2
.
if f(x) be continuous for all x, then k =
Q.
For what value of
k
, the function defined by
f
(
x
)
=
log
(
1
+
2
x
)
sin
x
x
2
for
x
≠
0
=
k
for
x
=
0
is continuous at
x
=
0
?
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
Explore more
Strictly Increasing Functions
Standard XI 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