Let f(x)= cases x^2-9 x+3 ,&x -3 ,&x=-3 cases

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let f(x)={x2−9x+3,x≠−3m,x=−3.f(x)=\begin{cases}\dfrac{x^2-9}{x+3},&x\neq -3\\m,&x=-3\end{cases}. Find the value of mm so that ff is continuous at x=−3x=-3.

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