Consider the sets and

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Consider the sets

A=\{1,2,3\}

and

B=\{4,5,6\}

. A bijection

f:A\to B

is given by

f(1)=5,\ f(2)=4,\ f(3)=6

. Let

f^{-1}

be the inverse of

f

. Evaluate

(f^{-1}\circ f)(2)

. (a)

5

(b) Undefined (c)

2

(d)

4

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