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Byju's Answer
Standard VIII
Mathematics
Division of a Polynomial by a Polynomial
If f : R → ...
Question
If
f
:
R
→
R
,
f
(
x
)
=
x
3
+
3
, and
g
:
R
→
R
,
g
(
x
)
=
2
x
+
1
, then
f
−
1
o
g
−
1
(
23
)
equals
A
2
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B
3
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C
(
14
)
1
/
3
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D
(
15
)
1
/
3
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Solution
The correct option is
B
2
We have
f
(
x
)
=
x
3
+
3
&
g
(
x
)
=
2
x
+
1
∴
f
−
1
(
x
)
=
(
x
−
3
)
1
/
3
&
g
−
1
(
x
)
=
(
x
−
1
)
2
∵
f
−
1
o
g
−
1
(
x
)
=
f
−
1
[
g
−
1
(
x
)
]
∴
f
−
1
o
g
−
1
(
23
)
=
f
−
1
[
g
−
1
(
23
)
]
=
f
−
1
(
11
)
=
(
11
−
3
)
1
/
3
=
(
8
)
1
/
3
=
2
Suggest Corrections
0
Similar questions
Q.
if
f
:
R
→
R
,
f
(
x
)
=
2
x
+
1
and
g
:
R
→
R
,
g
(
x
)
=
x
3
, then
(
g
o
f
)
−
1
(
27
)
equals-
Q.
If
f
:
R
→
R
,
g
:
R
→
R
be two functions given by
f
(
x
)
=
2
x
−
3
and
g
(
x
)
=
x
3
+
5
, then
(
f
o
g
)
−
1
(
x
)
is equal to
Q.
Let
f
:
R
→
R
,
g
:
R
→
R
be the two functions given by
f
(
x
)
=
2
x
−
3
,
g
(
x
)
=
x
3
+
5
. Then,
(
f
∘
g
)
−
1
(
x
)
is equal to
Q.
Let
f
:
R
→
R
and
g
:
R
→
R
be two functions given by
f
(
x
)
=
2
x
−
3
,
g
(
x
)
=
x
3
+
5.
Then
(
f
o
g
)
−
1
(
x
)
is equal
Q.
Let
f
:
R
→
R
,
g
:
R
→
R
be two function given by
f
(
x
)
=
2
x
−
3
,
g
(
x
)
=
x
3
+
5
. Then
(
f
o
g
)
−
1
{
x
}
is equal to
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