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Byju's Answer
Standard XII
Mathematics
Definition of Functions
If fx=x2, g...
Question
If
f
(
x
)
=
x
2
,
g
(
x
)
=
x
2
−
5
x
+
6
then
g
(
2
)
+
g
(
3
)
+
g
(
0
)
f
(
0
)
+
f
(
1
)
+
f
(
−
2
)
=
A
2
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B
1
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C
5
6
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D
6
5
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Solution
The correct option is
D
6
5
g
(
2
)
=
0
g
(
3
)
=
0
g
(
0
)
=
6
f
(
0
)
=
0
f
(
1
)
=
1
f
(
−
2
)
=
4
On substituting values in the given equation, we get the value as
6
5
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0
Similar questions
Q.
If
f
(
x
)
=
x
2
,
g
(
x
)
=
x
2
−
5
x
+
6
, then
g
(
2
)
+
g
(
3
)
+
g
(
0
)
−
f
(
0
)
−
f
(
1
)
−
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(
−
2
)
Q.
If
f
(
x
)
=
x
+
2
,
g
(
x
)
=
x
2
−
x
−
2
,
then find
g
(
1
)
+
g
(
2
)
+
g
(
3
)
f
(
−
4
)
+
f
(
−
2
)
+
f
(
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)
Q.
If f(x) and g(x) are differentiable functions in [0,1] such that f(0)=2=g(1), g(0)=0, f(1)=6
then there exists c,
0
<
c
<
1
such that f '(c) =
Q.
If
f
(
x
)
and
g
(
x
)
are differentiable functions for
0
≤
x
≤
1
such that
f
(
0
)
=
2
,
g
(
0
)
=
0
,
f
(
1
)
=
6
,
g
(
1
)
=
2
, then in the interval
(
0
,
1
)
Q.
Let
f
(
x
)
=
x
2
+
x
g
′
(
1
)
+
g
′′
(
2
)
and
g
(
x
)
=
f
(
1
)
.
x
2
+
x
f
′
(
x
)
+
f
′′
(
x
)
then
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