Find the constant a such that the function is continuous on the entire real line.

g(x) = x² − a²

x − a

if x ≠ a

12 if x = a

a =

Question

Find the constant a such that the function is continuous on the entire real line.

g(x) =

x2 − a2

x − a

if x ≠ a

12

if x = a

a =

Paul M. · Accepted Answer

g(x) is continuous everywhere except at x=a.Near a (but not equal to a) g(x) is near 0.Therefore the answer to the question is a=0.

Find the constant a such that the function is continuous on the entire real line. g(x) = x2 − a2 x − a if x ≠ a 12 if x = a a =