Let f (x) = sin x and g (x) = ln|x|. If the range of the composition
functions fog and gof are R_{1} and R_{2} respectively, then
a) R_{1} = [ u : −1 ≤ u < 1], R_{2} = [ v : − < v < 0 ]
b) R_{1 }= [ u : − < u < 0 ], R_{2} = [ v : −1 ≤ v ≤ 0]
c) R_{1} = [ u : −1 < u < 1], R_{2} = [ v : − < v < 0 ]
d) R_{1} = [ u : −1 ≤ u ≤ 1], R_{2} = [ v : − < v ≤ 0 ]