Consider h(x)= cases x^ 2 -9 x^ 2 -8x+15 , & x 3,5, 7, & x=3

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

Problem

Consider

h(x)=\begin{cases}\dfrac{x^{2}-9}{x^{2}-8x+15}, & x\neq 3,5,\\7, & x=3.\end{cases}

Identify all

x

-values where

h

is not continuous and indicate for each whether the discontinuity is removable.