Let f(x) = sin (π/6 sin (π/2 sin x)) for all ∈ R and g (x) =π/2 sin x for all x ∈ R. Let (fog)(x) denote f(g(x)) and (gof) (x)denote g(f(x)). Then which of the following is (are) true?
(a) Range of f is [-1/2,1/2]
(b) Range of fog is [-1/2,1/2]
(d) There is an x∈ R such that (gof) (x) = 1
