Which of the following correctly describes the domain of the composite function

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

Problem

g\circ f

, where

f:A\to B

and

g:B\to C

? (a)

\operatorname{dom}(f)

(b)

\{x\in\operatorname{dom}(f)\mid f(x)\in\operatorname{dom}(g)\}

(c)

\operatorname{dom}(f)\cap\operatorname{dom}(g)

(d)

\{x\in\operatorname{dom}(f)\mid g(x)\in\operatorname{dom}(g)\}