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Standard XII
Mathematics
Inequalities of Integrals
23. Prove tha...
Question
23. Prove that f:R>R defined as f(x) = x+4x+5 is one one
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Q.
prove that function "f" defined as
f
:
R
−
(
−
2
)
→
R
−
1
,
f
(
x
)
=
x
x
+
2
is one - one and onto. Also find
f
−
1
Q.
Prove that the function
f
:
R
→
R
be defined by
f
(
x
)
=
(
x
2
+
1
)
35
is not one one.
Q.
f
:
R
→
R
is defined as
f
(
x
)
=
2
x
+
|
x
|
then
f
(
2
x
)
−
f
(
−
x
)
−
4
x
=
Q.
Show that the function
f
:
R
→
R
defined as
f
(
x
)
=
x
2
, is not one-one.
Q.
Prove that the function
f
:
R
→
R
defined by
f
(
x
)
=
4
x
+
3
,
is invertible and find the inverse of
f
.
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