Functions

Let \(f(x) = \sin \left( {{\pi \over 6}\sin \left( {{\pi \over 2}\sin x} \right)} \right)\) for all \(x \in R\) and g(x) = \({{\pi \over 2}\sin x}\) for all x\(\in\)R. Let \((f \circ g)(x)\) denote f(g(x)) and \((g \circ f)(x)\) denote g(f(x)). Then which of the following is/are true?