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Let the functions f : R \to R and g : R \to R be defined as :f(x) = \left\ \matrix x + 2, & x < 0 \cr x^2, & x \ge 0 \cr \right. and g(x) = \left\ \matrix x^3, & x < 1 \cr 3x - 2, & x \ge 1 \cr \right. Then, the number of points in R where (fog) (x) is NOT differentiable i... | Watch the step-by-step video solution for this NIMCET PYQ.