Let be defined on set and on set

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

Problem

Let

f

be defined on set

A

and

g

on set

B

. For the quotient function

\bigl(\tfrac{f}{g}\bigr)(x)=\dfrac{f(x)}{g(x)}

to exist, which of the following correctly describes its domain? (a)

(A\cup B)\setminus\{x\mid g(x)=0\}

(b)

B\setminus\{x\mid g(x)=0\}

(c)

(A\cap B)\setminus\{x\mid g(x)=0\}

(d)

A\cap B