Give an example of a function which has a removable discontinuity at x=3?

Answer 1

f(x) = (x^2 + 4x + 3)/(x + 3)

The graph will look like the line y = x + 1, but there is a "hole" at the point x = -3.

That hole could be filled by adding "f(x) = -2 if x = -3" to the definition of the function.