If f(x)=⌊x⌋f(x) = \lfloor x \rfloorf(x)=⌊x⌋ and g(x)=sin(πx)g(x) = \sin(\pi x)g(x)=sin(πx), find the range of (g∘f)(x)(g \circ f)(x)(g∘f)(x).
[−1,1][-1, 1][−1,1]
(0,1](0, 1](0,1]
{0}
{-1, 0, 1}