Explain why the domain of the composite function equals when and are real-valued…

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Explain why the domain of the composite function

(g \circ f)

equals

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

when

f:A \to B

and

g:B \to C

are real-valued functions.