Define g(x)= cases x -2 x-4 , & x>4, , & x=4

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Define

g(x)=\begin{cases}\dfrac{\sqrt{x}-2}{x-4}, & x>4,\\m, & x=4.\end{cases}

a) Determine the value of

m

that makes

g

continuous at

x=4

. b) State the interval on which

g

is continuous.