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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

1 Answer

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Best answer

The correct answer is (A, B, C)

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