For the function p(x)= cases kx^ 2 +1, & x 3 2x+k, & x>3 cases determine the value of…

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

Problem

For the function

p(x)=\begin{cases}kx^{2}+1, & x\le 3\\2x+k, & x>3\end{cases}

determine the value of

k

that makes

p

continuous at

x=3