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Byju's Answer
Standard XII
Mathematics
Range
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
6
5
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C
5
6
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D
1
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Solution
The correct option is
C
1
g
(
2
)
=
g
(
3
)
=
0
;
g
(
0
)
=
6
f
(
0
)
=
0
;
f
(
1
)
=
1
;
f
(
2
)
=
4
⇒
6
−
1
−
4
=
1
Suggest Corrections
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
)
+
f
(
−
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
(
2
)
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.
If
f
(
x
)
=
2
x
−
1
, if
x
>
1
;
=
x
2
+
1
, if
−
1
≤
x
≤
1
, then
f
(
1
)
+
f
(
3
)
+
f
(
0
)
f
(
2
)
+
f
(
−
1
)
+
f
(
1
2
)
is?
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