Let {y} and [y] denote fractional part function and greatest integer f – InterviewSolution

1.	Let {y} and [y] denote fractional part function and greatest integer function respectively.If f(x)=sin−1{[3x+2]−{3x+(x−{2x})}} for x∈(0,π12) and (g∘f)(x)=x for all x∈(0,π12), then g′(π6) is equal to
Answer» Let ${y}$ and $[y]$ denote fractional part function and greatest integer function respectively. If $f (x) = {sin}^{- 1} {[3 x + 2] - {3 x + (x - {2 x})}}$ for $x \in (0, \frac{π}{12})$ and $(g \circ f) (x) = x$ for all $x \in (0, \frac{π}{12}),$ then $g^{'} (\frac{π}{6})$ is equal to

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