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find values of a and k that make this function continuous

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1 Answer

Factor each:  (x2 - 144)/(x - 12) = (x - 12)(x + 12)/(x - 12) = x + 12.
 
What this means is that there in a hole in the graph at x = -12.  Therefore, the graph is continuous everywhere except at x = 12.  The graph will appear to be the line y = x + 12, but won't exist at x = 12.