Which of the following statements is both necessary and sufficient for two functions…

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

Problem

Which of the following statements is both necessary and sufficient for two functions

f:A\to B

and

g:B\to A

to be mutual inverses? (a)

f\circ g=I_{B}

only (b) Both

f

and

g

are one–one (c)

f\circ g=I_{B}

and

g\circ f=I_{A}

(d) Both

f

and

g

are onto