For real-valued functions and

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

Problem

For real-valued functions

f

and

g

, the quotient function

\left(\dfrac{f}{g}\right)(x)

is defined at

x=a

provided

a

lies in the domains of both

f

and

g

and which one of the following additional conditions holds? (a)

g(a)=0

(b)

g(a)\ne 0

(c)

f(a)\ne 0 \;\text{and}\; g(a)\ne 0

(d)

g(a)>0