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Byju's Answer
Standard XIII
Mathematics
Properties of Inverse Function
The inverse o...
Question
The inverse of a bijection is unique and also a bijection.
A
True
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B
False
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Solution
The correct option is
A
True
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Similar questions
Q.
The inverse of a bijection is unique and also a bijection.
Q.
Let
A
=
{
1
,
2
,
3
,
4
,
5
,
6
}
and
f
:
A
→
A
be a bijection. What is the probability that
f
o
f
=
i
d
,
i
.
e
.
,
f
is its own inverse?
Q.
If A = {1, 2, 3, 4} and B = {a, b, c, d}, define any four bijections from A to B. Also give their inverse functions.
Q.
I: If
f
:
A
→
B
is a bijection only then does
f
have an inverse function
II: The inverse function
f
:
R
+
→
R
+
defined by
f
(
x
)
=
x
2
is
f
−
1
(
x
)
=
√
x
Q.
Choose the correct option regarding the following statements.
(i)
If R is an equivalence relation, then
R
−
1
is also an equivalence
(ii)
Inverse of a bijective function is unique
(iii)
Even function can be one-one
(iv)
Constant functions are aperiodic
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