A function f(x) is said to have a removable discontinuity at x = a if both...

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A function f(x) is said to have a removable discontinuity at x = a if both of the following conditions hold: 1. f is either not defined or not continuous at x = a. 2. f(a) could either be defined or redefined so that the new function is continuous at x = a. Show that x² + 12x +39 if x-6 if x = -6 f(x) = 0 -X 12x33 if x > -6 has a removable discontinuity at x = -6 by (a) verifying (1) in the definition above, and then (b) verifying (2) in the definition above by determining a value of f(-6) that would make f continuous at x=-6. f(-6)= would make f continuous at a = -6. Now draw a graph of f(x). It's just a couple of parabolas! A function f(x) is said to have a removable discontinuity at x = a if both of the following conditions hold: 1. f is either not defined or not continuous at x = a. 2. f(a) could either be defined or redefined so that the new function is continuous at x = a. Show that x² + 12x +39 if x-6 if x = -6 f(x) = 0 -X 12x33 if x > -6 has a removable discontinuity at x = -6 by (a) verifying (1) in the definition above, and then (b) verifying (2) in the definition above by determining a value of f(-6) that would make f continuous at x=-6. f(-6)= would make f continuous at a = -6. Now draw a graph of f(x). It's just a couple of parabolas!

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Answer Solution Graph fa2 12x 43 4 212129 276 to be contin... View the full answer