... (ii) W e have to find f (g(X)) . Now. g (x) = 1 + x - [x] = 1 + (X) ... (iii) [Using definition of fractional part function] f (g (x)) = f (1 + (x)) [Using (iii)] Since, 1 ≤ 1 + {x} < 2 , for all x [Since 0 ≤ (x) < 1] ∴ f (1 + (x)) = 1 [Using (ii)] ⇒ f [g(x)] = 1 Hence, option 'B' is correct