If f x = x x - 1 , then the points of discontinuity of the function f 15 x , where f n = f o f … … . o f ( n times), are

Step-by-step solution

Clearly, x = 1 is a point of discontinuity of the function f x = x x - 1 . If x ≠ 1 , then f o f x = f f x = f x x - 1 = x , which is continuous ∀ x ∈ R . If x ≠ 1 , then f o f o f x = f x = x x - 1 Hence, f 15 x = f o f o f … … … 15 x = f x which is continuous everywhere except x = 1 So, the only point of discontinuity is x = 1