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Byju's Answer
Standard XII
Physics
Introduction
If fx = x2 ...
Question
If
f
(
x
)
=
x
2
−
5
x
+
6
x
−
2
,
x
≠
2
, then
f
(
3
)
is equal to
A
8
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B
6
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C
2
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D
0
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Solution
The correct option is
D
0
Given,
f
(
x
)
=
x
2
−
5
x
+
6
x
−
2
,
x
≠
2
So,
f
(
x
)
has a finite real value.
∴
f
(
3
)
=
3
2
−
5
×
3
+
6
3
−
2
=
15
−
15
1
=
0
Hence, option D is correct.
Suggest Corrections
0
Similar questions
Q.
If
f
(
x
)
=
x
2
−
5
x
+
6
is a real-valued function, then
Q.
If
x
3
−
6
x
2
+
10
x
−
2
x
2
−
5
x
+
6
=
f
(
x
)
+
A
x
−
2
+
B
x
−
3
, then
f
(
x
)
=
(Note :
A
,
B
are constants)
Q.
f
(
x
)
=
{
2
−
|
x
2
+
5
x
+
6
|
,
x
≠
−
2
a
2
+
1
,
x
=
−
2
. then the range of
a
, so that
f
(
x
)
has maxima at
x
=
−
2
, is
Q.
If
f
(
x
)
=
5
x
−
x
2
, then
f
(
x
)
=
6
at
x
=
Q.
Let
f
:
R
→
R
be defined as
f
(
x
)
=
⎧
⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪
⎨
⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪
⎩
λ
|
x
2
−
5
x
+
6
|
μ
(
5
x
−
x
2
−
6
)
,
x
<
2
e
tan
(
x
−
2
)
x
−
[
x
]
,
x
>
2
μ
,
x
=
2
where
[
x
]
is the greatest integer less than or equal to
x
. If
f
is continuous at
x
=
2
,
then
λ
+
μ
is equal to
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