Let \( f, g: \mathrm{R} \rightarrow \mathrm{R} \) be defined by \( f(x)=3 x-1+|2 x+1| \) and \( ...

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Let \( f, g: \mathrm{R} \rightarrow \mathrm{R} \) be defined by \( f(x)=3 x-1+|2 x+1| \) and \( g(x)=\frac{1}{5}((3 x+5)-|2 x+5|) \), then
(a) \( f \circ g=g \circ f \)
(b) \( (f \circ g)^{-1}=g \circ g \)
(c) \( y=\min \left(\operatorname{fog}(x),(f \circ g(x))^{2},(\operatorname{fog}(x))^{3}, \ldots(\operatorname{fog}(x))^{101}\right) \) is not differentiable at exactly three distinct values of \( x \).
(d) \( \underbrace{\text { fogofogofog...fog }}_{100 \text { times }}(5)=3 \)
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