A function is defined by g(x)= cases x^ 2 -9 x-3 , & x 3 b, & x=3 cases For which…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

A function

g

is defined by

g(x)=\begin{cases} \dfrac{x^{2}-9}{x-3}, & x\neq 3\\ b, & x=3 \end{cases}

For which value of

b

g

continuous at

x=3

? (a)

0

(b)

6

(c)

3

(d)

-6