Define the function by p(x)= cases x^ 2 -9 x-3 , & x3

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Define the function pp by p(x)={x2−9x−3,x<3,6,x=3,x−3+6,x>3.p(x)=\begin{cases} \dfrac{x^{2}-9}{x-3}, & x<3,\\ 6, & x=3,\\ \sqrt{x-3}+6, & x>3. \end{cases} Determine the domain of p′(x)p'(x) and express your answer in interval notation.

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