defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Relations and Functions Composition of Functions
Let f ∶ [0, 1] → [0, 1] be defined by f(x) = \(\left\{\begin{array}{c}x, \text { if } x \text { is rational } \\ 1−x, \text { if } x \text { is irrational }\end{array}\right.\)
Then (f o f) x is
1
constant
2
1 + x
3
x
4
none of these