Consider the function f(x)= ln(|x-4|)

Question

Consider the function f(x)= ln(|x-4|).

Where are the discontinuities located and identify the type or types of discontinuity?

f is discontinuous at x =?

Answer 1

f(x) = ln l x - 4 l is continuous for all x≠4. At x = 4, there is a vertical asymptote. So, at x = 4 there is a

non-removable discontinuity.