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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.

A = {1, 2, 3, 4, 5, 6}

f : A \to 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.

f : A \to B

is a bijection only then does

f

have an inverse function
II: The inverse function

f : R^{+} \to R^{+}

f (x) = x^{2}

f^{- 1} (x) = \sqrt{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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