If f x = 1 1 - x , then the points of discontinuity of the function f 30 x where f n x = 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 = 1 1 - x . if x ≠ 1 , then f o f x = f f x = f 1 1 - x = x - 1 x , which is discontinuous at x = 0 . If x ≠ 0 and x ≠ 1 , then f o f o f x = f f o f x = f x - 1 x = x Which is continuous everywhere. Hence, f 30 x = x , which is continuous everywhere. So, the only points of discontinuity are x = 0 and x = 1