JEE Main 202429 Jan, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002If f(x)={2+2x,−1≤x<01−x3,0≤x≤3;g(x)={−x,−3≤x≤0x,0<x≤1f(x)=\left\{\begin{array}{cc}2+2 x, & -1 \leq x < 0 \\ 1-\frac{x}{3}, & 0 \leq x \leq 3\end{array} ; g(x)=\left\{\begin{array}{cc}-x, & -3 \leq x \leq 0 \\ x, & 0 < x \leq 1\end{array}\right.\right.f(x)={2+2x,1−3x,−1≤x<00≤x≤3;g(x)={−x,x,−3≤x≤00<x≤1, then range of (fog)(x)(f o g)(x)(fog)(x) isAOption A. [0,1)[0,1)[0,1)BOption B. [0,3)[0,3)[0,3)COption C. (0,1](0,1](0,1]DOption D. [0,1][0,1][0,1]CheckSkip · show solution