Let the functions f:R→R and g:R→R be defined as :
f(x)={\begin{matrix}x+2, & x<0 \\ {x}^{2}, & x\geq 0\end{matrix} and g(x)={\begin{matrix}{x}^{3}, & x<1 \\ 3x-2, & x\geq 1\end{matrix}
Then, the number of points in R where (fog)(x) is NOT differentiable is equal to :
Held on 16 Mar 2021 · Verified 6 Jul 2026.
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