Let f(x) = x^2 and g(x) = x for all x R . Then the set of all x satisfying (f g g f)(x) = (g g f)(x), where...

Question

Let f(x) = x^2 and g(x) = x for all x R . Then the set of all x satisfying (f g g f)(x) = (g g f)(x), where (f g)(x) = f(g(x)), is

Accepted Answer

(A)

JEE Advanced 2011 Mathematics question